The graph of the function f(x)= x²-3 is translated. The new function rule is f(x)= x²-1.

Which statement is true?

a. Every point on the graph is shifted down 1 unit.

b. Every point on the graph is shifted left 1 unit.

c. Every point on the graph is shifted right 2 units.

d. Every point on the graph is shifted up 2 units.

Answers

Answer 1

Answer:

Step-by-step explanation:

The function translation / transformation rules: f (x) + b shifts the function b units upward. f (x) – b shifts the function b units downward. f (x + b) shifts the function b units to the left.

so it should be d


Related Questions

ANSWER THIS PLEASE IT IS A MATH QUESTION

Answers

Answer:

Step-by-step explanation:

Least to largest:

First compare the whole parts of the decimal number. The whole part with greater number will be the greatest number.

2) Then compare the decimal parts. Compare tenth place. The decimal number that has greater number in the tenth place will be greater.

3) If the number in  tenth place is equal, then compare 100th place and so on

A) 15.99  ; 16  ; 16.02  ; 16.2

B) 4.45  ; 4.9945  ; 5.545   ; 5.56

c) 44.11  ; 44.5  ; 45 ; 45.01

D) 8.995 ;   9.0599  ;  9.27  ;  9.6

Greatest to least

A) 2.111   ; 2.11   ; 2.1   ; 2.01

B) 32.32  ; 32.302     ; 32.032  ; 3.99

c) 7.666  ; 7.66  ;  7.6  ; 7.06

D) 57.68  ; 57.57   ;   57.057   ; 5.75

How to solve for this? Need help ASAP

Answers

2ax-6ay+bx-3by

2ax+bx -6ay-3by

x(2a+b) -3y(2a+b)

(2a+b) (x-3y)

Answer:

Step-by-step explanation:

2ax -6ay +bx -3by

take common from first two terms and take common from third and fourth term

=2a(x-3y)+b(x-3y)

take common (x-3y) is common

=(x-3y)(2a*1+b*1)

=(x-3y)(2a+b)

What could be the coordinates of the third vertex, z, of triangle xyz so that it would have a hypotenuse with a length of square root 45 units

Answers

Answer:

[tex]z = (6,-1)[/tex]

Step-by-step explanation:

The missing parameters are:

[tex]x = (3,-1)[/tex]

[tex]y = (3,5)[/tex]

[tex]yz= \sqrt{45[/tex] --- Hypotenuse

Required

The coordinate of Z

First, calculate the distance xy

[tex]xy = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

[tex]xy = \sqrt{(3 - 3)^2 + (-1 - 5)^2}[/tex]

[tex]xy = \sqrt{0 + 36}[/tex]

[tex]xy = \sqrt{36}[/tex]

[tex]xy = 6[/tex]

By Pythagoras theorem, distance xz is:

[tex]yz^2 = xz^2 + xy^2[/tex]

[tex](\sqrt 45)^2 = xz^2 + 6^2[/tex]

[tex]45 = xz^2 + 36[/tex]

Collect like terms

[tex]xz^2 =45-36[/tex]

[tex]xz^2 =9[/tex]

[tex]xz = \sqrt{9}[/tex]

[tex]xz = 3[/tex]

This means that z is 3 units to the right of x

We have:

[tex]x = (3,-1)[/tex]

The rule to determine z is:

[tex](x,y) \to (x + 3, y)[/tex]

So, we have:

[tex]z = (3 + 3,-1)[/tex]

[tex]z = (6,-1)[/tex]

just need number 5 !

Answers

Answer:

6.5

Step-by-step explanation:

Cos = Adjacent/Hypotenuse

For the angle with the measure of 70°

Adjacent = x

Hypotenuse =  19

Hence, cos 70 = x/19

multiply both sides by 19

cos(70) * 19 = 19cos(70)

x/19 * 19 = x

we're left with x = 19cos(70)

19cos(70) = 6.5 ( rounded to the nearest tenth )

x = 6.5

I hope this is help full to u

thank you

Tell whether the points appear to represent a linear function, an exponential function, or neither? Explain please.

Answers

Answer:

Exponential

Step-by-step explanation:

Linear is easy to remember because it goes in a straight LINE.

Only other option is a quadratic and this does not create a parabola

Yani buys 4 dozen flyers for $7.80. What is the unit rate?

Answers

Answer:

The unit rate is, $1.95

Step-by-step explanation:

7.80 ÷ 4= 1.95

So , unit  rate is  [tex]\frac{1}{1.95\\}[/tex]

7.8 is what percent of 78?

Answers

Answer:

10 %

Step-by-step explanation:

let the percent be x

according to the question

7.8 = x % 0f 78

7.8 = x /100 * 78

7.8*100 = 78x

780 = 78x

780/78 = x

10 = x

Answer:

10 percent

Step-by-step explanation:

7.8 is ? of the number 78.

So, we will multiply 7.8 by 100.

7.8 x 100 = 780

Now, we will divide 780 by 78.

780/78 = 10

So, our answer is 10.

Or, you can divide:

78 divided by 7.8 is 10

State one obtuse angle and one acute angle

Answers

Answer:

obtuse angle is 2 and acute angle is 1

Step-by-step explanation:

Obtuse Angle: An angle between 90 and 180 so angle 2 is an obtuse angle

Acute Angle: An angle between 0 and 90 so angle 1 is an acute angle

Hey guys, I need help with this question. Please show working out, thanks

Answers

Answer:

Step-by-step explanation:

In similar triangles corresponding triangles are in same ratio.

[tex]\frac{15}{5}=\frac{12}{y}[/tex]

Cross multiply,

15 * y = 12 * 5

     y = [tex]\frac{12*5}{15}[/tex]

      y = 4

please help with 3 , 4 & 5 i mark Brian list

Answers

(3)/(1)/(4) step by step below

Answer:

see below

Step-by-step explanation:

Question-2:

the square of x-5 given by

[tex] \displaystyle (x - 5) ^{2} [/tex]

use (a-b)²=a²-2ab+b² to simplify so we obtain:

[tex] \displaystyle {x}^{2} - 10x + 25[/tex]

hence

our answer is 2)

Question-3:

to find:

[tex]f(x) - g(x)[/tex]

substitute the value of f(x) and g(x):

[tex] \rm \displaystyle{6x}^{2} + 8x - 5 - ( {2x}^{2} - 4x + 4)[/tex]

remove parentheses and change its sign:

[tex] \rm \displaystyle{6x}^{2} + 8x - 5 - {2x}^{2} + 4x - 4[/tex]

combine like terms:

[tex] \rm \displaystyle{6x}^{2} + 12x - 5 - {2x}^{2} - 4[/tex]

collect like terms:

[tex] \rm \displaystyle{4x}^{2} + 12x -9[/tex]

hence,

our answer is 3)

Question-4:

given Polynomial:

[tex] \displaystyle {5x}^{3} + 2 {x}^{2} + 7[/tex]

substitute the value of x:

[tex] \displaystyle {5.(10}^{3}) + 2 ({10}^{2}) + 7[/tex]

simplify squares:

[tex] \displaystyle 5(1000) + 2 (100) + 7[/tex]

simplify multiplication:

[tex] \displaystyle 5000 + 2 00 + 7[/tex]

simplify addition:

[tex] \displaystyle 5207 [/tex]

hence our answer is 1)

Question-5:

given:

12x³y⁶,8x⁴y,20x²y⁵

notice that,

every time there's a GCF of 4x²y

hence our answer is 4)

HELP ME BEFORE I DIE!


Your adjacent is 3, your opposite is 4, and you have a 90 degree angle. Find the value of cos V rounded to the nearest hundredth, if necessary.

Answers

Answer:

0.6 or [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Using the Pythagorean theorem ([tex]a^{2} +b^{2} =c^{2}[/tex]) we get that the hypotenuse is 5.

so the cos V is adjacent over the hypotenuse. so if adjacent is 3 and hypotenuse is 5, the answer is [tex]\frac{3}{5}[/tex] which equals 0.6 in decimal form.

(2a divided by 7) - (a-4)

Answers

Answer:

a=28/5 or 5.6

Step-by-step explanation:

2a/7=a-4

Multiple both sides of the equation by 7

2a=7a-28

Subtract 7a from both side

2a-7a=-28

Like Term

-5a=-26

Divide -5 from both side

a= 5.6

What is the translation shown in the graph?

Answers

Answer:

The shape is translated four units left, and 2 units up, therefore the answer would be x=-4 and y=+2

Answer:

P= (1,-1)= P'= (-3,1)

T=(4,-1)=T'= (0,1)

R=(5,1)=R'= (1,3)

A= (5,3)=A'= (1,5)

So you would move the points 4 units across (left) and 2 units up (2,-4)

I would think your answer is right, it would be the second choice. Its just a little hard to determine because you would use the method of moving the point but to double check you would use one of the points, for example (1,-1) you would do 1+2-4 to see if you would get -3 and do the same with -1, -1+2-4. I hoped this helped!

Find the volume of the prism. 5 cm 13 cm 13 cm

Answers

The answer is 845

5 x 13 x 13= 845

which is the best estimate for the percentage equivalent of 7/15​

Answers

Answer:

45%

Step-by-step explanation:

The best Estimate for 7/15 is 46.6667% in other words 46%

(x+0)(x+5) what does this mean im confused whats the answer

Answers

That’s what you get when factoring an equation

Answer:

You can't get an answer to this unless you know what x is. The reason you can't solve is because it is factored down to the lowest form, but if you need to make an equation. Here is one: x^2 + 5x

standard form, degree, leading coefficient of 2x(2)-7x(4)+5x

Answers

-19x

lmk if this helped

The cost to rent a moving truck is a flat fee of $25 plus $0.60 per mile. The equatic
c, in dollars for the number of miles, m, traveled in the truck.
Identify the independent and dependent variables.
The
is the independent variable.
The
is the dependent variable.
$25 flat fee
cost
miles traveled?

Answers

Answer:

See explanation below

Step-by-step explanation:

Flat fee = $25

Cost per mile = $0.60

Let

C = total cost

m = number of miles travelled by the truck

The equation is

C = 25 + 0.60m

The independent variable is miles,m travelled

The dependent variable is total cost, C

$25 is the constant

Use a number line to find the difference. -2 - (-6)

Answers

Answer:

-2 + 6 = 4

Step-by-step explanation:

Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is of a mile long. On Monday, Selma ran the loop in of an hour. What is Selma's unit rate in miles per hour for Monday's run?

Answers

Answer:

4.5 miles per hour

Step-by-step explanation:

Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour. What is Selma's unit rate in miles per hour for Monday's run?

Distance = 3/4 of a mile

Time taken on Monday = 1/6 of an hour.

What is Selma's unit rate in miles per hour for Monday's run?

Unit rate in miles per hour for Monday's run = distance ÷ time taken

= 3/4 ÷ 1/6

= 3/4 × 6/1

= (3 * 6) / (4 * 1)

= 18/4

= 4.5 miles per hour

Unit rate in miles per hour for Monday's run = 4.5 miles per hour

Factorize: (a+b)^2 + 4 (a+b)+ 4

Answers

Factorized: (a + b + 2) ^2

Help is needed please

Answers

Answer:

y = 0

Step-by-step explanation:

Let's use the addition method.

2x + y - 10 = 0

x - y - 5 = 0

Write the first equation as is. Write below it the second equation multiplied by -2 on both sides. Then add the equations.

         2x + y - 10 = 0

(+)     -2x + 2y + 10 = 0

--------------------------------

                 3y        = 0

Divide both sides by 3.

y = 0

Answer: y = 0

What congruent postulate is needed for these triangles

Answers

Answer:

i hope this helps you

Step-by-step explanation:

answer is c

Answer is c) AAS means Angle Angle Side.

Hope it helps!

HELPPPPP PLEASE !!!!!

Answers

Answer:

4th option 0,5,10,15

Step-by-step explanation:

Let's check if the first choice is geometric.

2*3 = 6. is 6*3 = 18, yes! is  18*3 = 54. Yep! its geometric

the second option multiplies by -2, it is geometric

the third option multiplies by 1/5, it is geometric

The fourth option does not multiply by anything common, it is Not geometric

Answer:

0,5,10,15 is not the sequence of geometric.

Generally, to check whether a given sequence is geometric, one simply checks whether successive entries in the sequence all have the same ratio. The common ratio of a geometric series may be negative, resulting in an alternating sequence.

Step-by-step explanation:

This is totally correct!

i kinda need help on this

Answers

Answer:

16 units²

Step-by-step explanation:

Formula for the area of a parallelogram is given as, A = b*h

Where,

Base (b) = 4

Height (h) = √(5² - 3²) = 4 (Pythagorean theorem)

Plug in the values

Area of parallelogram, A = 4*4

= 16 units²

find the measure of

Answers

Answer:

46°

Step-by-step explanation:

D = 90° - 44° = 46°

You are thinking of buying a new tent. Look at the dimensions given below.
What is the perimeter of the tent's porch?.

Answers

Answer:

Step-by-step explanation:

The shorter sides of the porch can be found by subtracting 2.5m from 3m to get .5m; the longer sides are found by looking at the opposite end of the tent at the rectangle with a 1 inside of it. That 1 indicates the length of the rectangle, which is the same for the porch's length. That means that the perimeter is .5+1+.5+1 which is 3m total.

Help me ASAP please

Answers

Answer:

f(x) = x³ - 3

Step-by-step explanation:

Given f(x) then the graph of f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < o then a shift down o c units

Here a shift down of 3 units, hence c = - 3, thus

f(x) = x³ - 3

You are 3 times older than your younger sister and you are 12 years old. Write an equation to solve for your sister's age​

Answers

the answer to this question is 36 cause you do 3 times 12

please help with this problem !!

Answers

Answer:

a. x= 9

b. 70

c. 110

d. 70

e. 110

Step-by-step explanation:

a.

congruent angles have the same measure. 1 and 3 are congruent and 2 and 4 are congruent

2(12x+2)+2(7x+7)=360

divide both sides by 2

12x+2+7x+7=180

combine like terms

2+7=9

12x+7x=19x

19x+9=180

subtract both sides by 9

19x=171

divide both sides by 19

x=9

7x+7,

7*9+7

63+7 = 70

1 is 70, 3 is 70

12x+2, x=9

108+2 = 110

2 and 4 is 110

Answer:

Step-by-step explanation:

Angles 1 and 2 are supplementary (their sum is 180 degrees)

7x + 7 + 12x + 2 = 180

19x= 171

x = 9

m 1 = 7 * 9 + 7 = 70 degrees

m 2 = 12 * 9 + 2 = 108 + 2 = 110 degrees

m 3 = angle 1 and angle 3 are vertical, so they have the same measure: 70 degrees.

m 4 = angle 2 and angle 4 have the same measure: 110 degrees

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