Answers
Answer:
The image of point (2, 4) after transformation is (-2, 13) ⇒ D
Step-by-step explanation:
Let us revise some transformation
Translation right-left OR up-down
If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h) ⇒ add x-coordinate of every point by hIf the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h) ⇒ subtract x-coordinate of every point by hIf the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k ⇒ add y-coordinate of every point by kIf the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k ⇒ subtract y-coordinate of every point by kA vertical stretching and a vertical compression (or shrinking)
If m > 1, the graph of y = m • f(x) is the graph of f(x) vertically stretched by factor m. ⇒ multiply every y-coordinate by mIf 0 < m < 1 (a fraction), the graph of y = m • f(x) is the graph of f(x) vertically shrunk (or compressed) by factor m ⇒ multiply every y-coordinate by mLet us use these rules to solve the question.
∵ Point (2, 4) lies on y = x²
∵ The image of y = x² is y = 3(x + 4)²+1
→ The rules of transformation is y = m(x + h)² + k
∵ m is the scale factor of a vertical stretched
∵ m = 3
→ By using the 5th rule above
∴ The y-coordinate of point (2, 4) should multiply by 3
∴ The image of the point is (2, 4 × 3) = (2, 12)
∵ h is the horizontal translation to the left
∵ h = 4
→ By using the 2nd rule above
∴ The x-coordinate of point (2, 12) should subtract by 4
∴ The image of the point is (2 - 4, 12) = (-2, 12)
∵ k is the vertical translation up
∵ k = 1
→ By using the 3rd rule above
∴ The y-coordinate of point (-2, 12) should add by 1
∴ The image of the point is (-2, 12 + 1) = (-2, 13)
∴ The image of point (2, 4) after transformation is (-2, 13)
Related Questions
What is the perimeter of a square with the side length of 31cm?
Answers
Answer:
Perimeter = 124cm
what is 3/7 × 3 3/7?
Answers
= 3/4 × 3 3/7
= 3 3/7 as an improper fraction = 24/7
= 3/4 × 24/7
= 3 × 24 / 4 × 7
= 72/28
Let us try to simplify it .
We know that both 72 and 28 is divisible by 4 . Hence ,
72 ÷ 4 / 28 ÷ 4
= 18/7
Therefore , 3/7 × 3 3/7 = 72/78 or 18/7 ( simplest form ) .
Answer: 1²³⁄₄₉
Step-by-step explanation:
Convert any mixed numbers to fractions
3³⁄₇ x ²⁴⁄₇
Applying the fractions formula for multiplication
3 x 24
_____
7 x 7
= ⁷²⁄₄₉
Simplifying fraction
1²³⁄₄₉
A population has standard deviation o = 17.2.
Part 1 of 2
(a) How large a sample must be drawn so that a 99.8% confidence interval for u will have a margin of error equal to 3.8?
Round the critical value to no less than three decimal places.
Round the sample size up to the nearest integer.
A sample size of
3.8.
is needed to be drawn in order to obtain a 99.8% confidence interval with a margin of error equal to
Answers
Answer:
idk
Step-by-step explanation:
400 reduced by twice my age is 68 how old am i
Answers
hope it helps.........
find the slope and y- of the table
Answers
Answer:
y = (3/2) x +6
Step-by-step explanation:
The y-intercept is clearly at y = 6 point (0, 6) of the table.
The slope can be calculated using any two pairs, for example (-4,0) and (-2, 3)
slope = (y2 - y1)/(x2 - x1) = (3 - 0) / (-2 + 4 ) = 3/2
Then the equations of the line in slope y-intercept form is:
y = (3/2) x +6
What is (7x1)+(4x1/10)+(6x1/1000) written as a decimal in standard form?
Answers
Answer:
7.406
Step-by-step explanation:
It is 7.406 because 7x1 is 7, 4/10 is 0.4, and 6/1000 is 0.006. If you add those together, you will get 7.406.
7.406 is the decimal form
What is decimal in numeral system ?
The decimal numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral system. The way of denoting numbers in the decimal system is often referred to as decimal notation. A formal way to read decimals is to read the whole part as a whole number, then the decimal dot as “and” and then reading the fractional part altogether but using the place value of the last digit with it.
= (7x1)+(4x1/10)+(6x1/1000)
= 7 + 0.4 + 0.006
= 7.406
therefore , the decimal form of the expression is 7.406
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Darron has 293 cards. he buys 8 more packages of cards that each have 8 cards in them. How many cards does Darron has now?
Answers
Answer:
357 cards
Step-by-step explanation:
Multiply packs by card in each pack
8 x 8 = 64
add this value to the cards he had previously and you will get your answer
293 + 64 = 357
Answer:
357 cards
Step-by-step explanation:
8(8)+293= ?
64+293= 357
I need to turn this in by tomorrow!!!!! PLEASE HELP ME.
Answers
Step-by-step explanation:
Alternate interior angles :- 1 , 4
corresponding angles :- 3
same side interior angles :- 2 , 5 , 6
13=b 5=c what is the length of the missing leg
Answers
Answer:
The length of the missing leg is 12
Step-by-step explanation:
Right Triangles
A right triangle is a triangle that has an internal angle of 90°. In right triangles, the Pythagorean relation between its side length stands.
Suppose a and c are the smaller sides, also called 'legs' of the triangle, and b is the bigger side, also known as hypotenuse, then:
[tex]a^2+c^2=b^2[/tex]
We are given the hypotenuse b=13 and one leg c=5. Let's find the missing leg solving the above equation for a:
[tex]a^2=b^2-c^2[/tex]
Substituting:
[tex]a^2=13^2-5^2[/tex]
[tex]a^2=169-25=144[/tex]
Solving:
[tex]a=\sqrt{144}=12[/tex]
The length of the missing leg is 12
Can anybody help me please I need help
Answers
5x + 2 = 3x + 4(2x - 1) solve the following equation for x.
Answers
x=1
combine like terms and simplify
Answer:
-2
Step-by-step explanation:
just had to answer it :)
Three people are traveling and need to exchange the currency of their native country
for the currency of the country they are visiting. Drag each exchange to the category
that shows the ratio of currencies in that exchange.
CLEAR
U.S. Currency Foreign
(in dollars) Currency
25.00
15.75
U.S. Currency
(in dollars)
73.00
Foreign
Currency
81.03
U.S. Currency
(in fllars)
20.00
Foreign
Currency
22.20
U.S. Currency Foreign
(in dollars) Currency
30.00 21.90
U.S. Currency
in dollars)
50.00
Foreign
Currency
36.50
1 U.S. dollar per 1.11
72 dollar
Australian dollar
tban
Answers
Answer:
Step-by-step explanation:
1. Exchange rate = 1 U.S. dollar per 0.9009 foreign currency
i. U.S. Currency (in dollars) = 73.00
Foreign currency = 81.03
ii. U.S. Currency (in dollars) = 20.00
Foreign currency = 22.20
2. Exchange rate = 1 U.S. dollar per 1.3699 foreign currency
i. U.S. Currency (in dollars) = 30.00
Foreign currency = 21.90
ii. U.S. Currency (in dollars) = 50.00
Foreign currency = 36.50
3. Exchange rate = 1 U.S. dollar per 1.5873 foreign currency
i. U.S. Currency (in dollars) = 25.00
Foreign currency = 15.75
4. Exchange rate = 1 U.S. dollar per 1.11 Australian dollar
i. U.S. Currency (in dollars) = 72.00
Equivalent Australian dollar = 72.00 x 1.11 = 79.92
Answer:
?
Step-by-step explanation:
Simplify the problem 4{28-[10+(3+1)×2]}
Answers
Answer:
= 40
Step-by-step explanation:
Calculate within the parentheses:
28 - [10 + (3 + 1) * 2]
= 10
Calculate within the parentheses:
[10 + (3 + 1) * 2]
= 18
Subtract (Left to right):
= 28 - 18
Simplify:
= 4 * 10
Simpliy:
= 40
it’s a little less complicated that you think i’m not sure if this was the answer but i did it as i could remember.
Tyrone did’t do the dishes what lie would Tyrone use ?
Answers
Answer:
lol how are you gonna lie? the person asking will see the dirty dishes.
Step-by-step explanation:
Answer:
Sorry i didnt really hear what you said i was kind of in a rush.
we ran out of soap
I had a really important assignment that i need to do right away
I had a headache
I threw up
Step-by-step explanation:
100 POINTS SHOW YOUR WORK, ANSWER ALL PLEASE HELP!!!!
A chef has a favorite muffin recipe that uses 1/2 cup of blueberries for a whole batch. He has 3/4 cups of blueberries that he wants to use. Which equation can be used to solve for the number of batches of muffins, b, that the chef can make?
3/4 ÷ 1/2 = B
3/4 ÷ 2/1 = B
1/2 ÷ 3/4 = B
2/1 ÷ 3/4 = B
Monty has 3/4 pound of trail mix. He needs to divide the trail mix into 1/8 pound bags. How many trail mix bags will Monty have?
An adult elephant in the wild spends about 16 hours each day eating. During that time, the elephant will eat about 525 pounds of food.
If the elephant eats the same amount of food each hour, about how much food does it eat in one hour, to the nearest whole pound? Show or explain how you got your answer.
Members of the school orchestra are organizing a trip to a concert. If tickets cost $14 each, how many tickets can be purchased with $500?
Mr. Morris used the greatest common factor and the distributive property to rewrite the sum 45 + 27.
What did he write?
A club with 24 members has 4,896 event flyers to pass out.
Each member will be given the same number of flyers.
How many flyers does each member get?
Xavier is solving a problem on the whiteboard as shown.
Part A. Is Xavier's solution correct? If not, identify where he made an error.
Part B. Solve 7950 divided by 25.
Answers
Quantity of trail mix with Monty = 3/4 pounds
Quantity of pounds he need to divide it into = 1/8
Number of trail mix bags Monty will have =
= 3/4 ÷ 1/8
= 3/4 × 8/1 ( division of fraction is multiplication with reciprocal )
= 24/4
We know that both 24 and 4 is divisible by 4 . Hence ,
= 24 ÷ 4 / 4 ÷ 4
= 6/1
= 6 bags
Therefore , Monty will have 6 bags of trail mix .
Solution 3 :Quantity of food an elephant eats in 16 hours = 525 pounds
Quantity of food the elephant will eat in 1 hour = 525 ÷ 16
Quantity of food the elephant will eat in 1 hour = 32.8125 pounds = 33 pounds
Therefore , an elephant eats 33 pounds of food in 1 hour .
Solution 4 :Number of tickets that can be purchased with $14 = 1 ticket
Number of tickets that can be purchased with $500 =
= 500 ÷ 14
= 35 tickets
Therefore , 35 tickets can be purchased with $500 .
Solution 5 :Factors of 45 = 1 , 5 , 3, 9 , 15 and 45 .
Factors of 27 = 1 , 3 , 9 and 27 .
Their Greatest common factor = 9 .
Then , the sum of 45 and 27 can be written as :
9 ( 5 + 3 )
Therefore , Mr . Morris wrote = 9 ( 5 + 3 ) .
Solution 6 :Total number of event flyers in a club = 4896
Total number of playerz in a club = 24
Then number of flyers each member of the club will get =
= 4896 ÷ 24
= 204
Therefore , each player will get 204 flyers .
Solution 7 :Part A is not given .
Part B :
= 7950 ÷ 25
= 318
Therefore , 7950 ÷ 25 = 318 .
Convert 139 pounds to kilograms
Round answer to the nearest tenth.
Conversion table:
1 kilogram = 2.205 pounds
Answers
Answer: 63.1
Step-by-step explanation:
HELP WITH 4. AND 5. Thanks in advance
Answers
How can you best rearrange the terms in the following expression to create an equivalent expression that would be easier to simplify?
−4(y−5)+2y−77
Answers
Answer:
-4y + 20 + 2y - 77
Step-by-step explanation:
Apply the distributed property, so it now looks like this: -4y -(-20) + 2y-77Simplify: -4y + 20 + 2y - 77I hope this helps!
I need help finding the function equasion of this table
X Y
0 0
1 4
2 16
3 36
4 64
Answers
How do you solve this? Without going into anything to complicated as this should be Year 10 maths
Answers
Given : ABCD is a square with each side 5cm .
To Find : The area of the shaded region .
Solution : On observing the figure we can see two quadrants , quadrant ADC & quadrant ABC .
If we join A to C , then it will be common for triangles ADC & ABC . And they will be congruent by SSS congruence condition.
Therefore the area of both quadrants will also be equal . Now we can find area of quadrant as ;
[tex]\large\boxed{\red{\bf Area_{quadrant}=\dfrac{\pi r^2}{4}}}[/tex]
Here radius will be equal to 5cm .
⇒ Area = πr² / 4 .
⇒ Area = π (5cm)² / 4 .
⇒ Area = 22/7 × 25 × 4 cm².
⇒ Area = 19.64 cm² .
So , total area of both quadrants = 39.28 cm² .
Also , area of square will be :
[tex]\large\boxed{\bf{\red{Area_{square}=(side)^2}}}[/tex]
⇒ Area = 5cm × 5cm .
⇒ Area = 25 cm².
Now , subtract area of one quadrant from the area of square = 25cm² - 19.64 cm² = 5.36 cm².
Similarly area of other white region = 5.36cm² .
And the areas sum will be = 5.36cm² × 2 = 10.72cm² .
Now , from the figure it's clear that ,
⇒ Area of unshaded region + Area of shaded region = 25cm².
⇒ 10.72cm² + ar( Shaded region ) = 25cm².
⇒ ar ( Shaded region ) = 25cm² - 10.72cm².
⇒ ar ( Shaded region ) = 14.28 cm².
Hence the area of shaded region is 14.28 cm².
[tex]\large\boxed{\red{\bf Answer = 14.28cm^2}}[/tex]
What is the equation of the line that is parallel to the line 2x − y = 3 and passes through the point (2, −1)?
A. y = −½ x − 5
B. y = −½ x − 1
C. y = 2x − 5
D. y = 2x − 1
Answers
Answer:
C. y = 2x − 5
Step-by-step explanation:
Given equation of line
2x − y = 3
rewriting the equation in slope intercept form as answer are given slope intercept form
y = 2x - 3
slope intercept form of equation is
y = mx + c
where m is the slope
c is y intercept
thus
slope for y = 2x - 3 when comparing with y = mx + c is 2
now we know slope of two parallel line is same
thus,
the slope of line that is parallel to the line 2x − y = 3
is 2
Let the equation of required line be y = mx + c
where m = 2
thus
y = 2x + c is the new required equation
it passes through the point (2, −1)
using y = -1 and x = 2 in y = 2x + c
-1 = 2*2 + c
c = -1 - 4
c = -5
thus,
equation of required line is option c
y = 2x - 5 ----answer
A 40 -inch board is to be cut into three pieces so that the second piece is 4 as long as the first piece and the third piece is 5 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces.
Answers
Answer:
4*4=16 INCHES FOR THE SECOND PIECE. 5*4=20 INCHES FOR THE LONGEST PIECE.
Step-by-step explanation:
x = 20 inch, the length of the first piece
What is mathematical expression?
A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
given,
Total length = 40 inch
let first piece be = x inch
second piece = 4 times of first piece = 4x inch
third piece = 5 times of first piece = 5x inch
So,
x + 4x + 5x = 200
10x = 200
x = 200/10
x = 20
Therefore, the length of the first piece is 20 inch
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Which of the following equations does NOT have a soulution of x=o.5 ? 10x – 5 = -2x + 1
-2x + 6 = -6x + 8
-5x + 10 = x + 7
3x + 3 = -2x + 13
Answers
Molly has 9 cups of flour. If this is 3/4 of the number she needs to make bread, how many cups does she need?
use a tape diagram by reading it backward, draw a tape diagram and label it unknown.
Answers
Answer:
She needs 12 cups of flour to make bread
Step-by-step explanation:
9 divided by 3 is 3. So you add 3 to 9 and you get 12. So yeah!
John earns $6 per hour washing dishes. How many hours must he work to make at least $150?
Answers
Which is a perfect square?
Answers
Answer:
2 by 2
Step-by-step explanation:
or 4 by 4 I think I mean that would be mine
Answer:
The perfect squares are the squares of the whole numbers: 1 4 9 16 25 36 49, 64, 81, 100 Here are the square roots of all the perfect squares from 1 to 100. 1
Step-by-step explanation:
to be proportional, there must be a constant of proportionality
true or false
Answers
Answer:
True
Step-by-step explanation:
There must be a constant of proportionality.
Hope this helps!
Question 3
20 pts
The Indians won 14 out their last 20 games. What percent of their games
did they win?
Answers
Answer:
They won 70% of their games.
Step-by-step explanation:
Convert your fraction to a percentage.
Divide 14 by 20, which gets you 0.70.
Then multiply it by 100, which gives you 70.
Now you have a fraction of 70/100.
That's how you get 70%
Which is the smallest set of numbers
Answers
hahahaha wht? lol sry im stupid tbh
The Science Club went on a two-day field trip. The first day the members paid $50 for transportation plus
$10 per ticket to the planetarium. The second day they paid $90 for transportation plus $7 per ticket to
the geology museum. Write an expression to represent the total cost in dollars for two days for the
n members of the club.
An expression that represents the total cost in dollars for two days for the n members of the club is given
by
Answers
Answer:
(50+10n)+(90+7n)