Which graph is defined by the function given below?
y = (x-3)(x-3)

Which Graph Is Defined By The Function Given Below?y = (x-3)(x-3)

Answers

Answer 1

Answer: graph b

Step-by-step explanation:

Vertex:  ( 3 ,0 )

Focus:  ( 3 , 1 4 )

Axis of Symmetry:  x = 3

Directrix:  y = − 1 4


Related Questions

Which of the following statements is false?
Reflection over x-axis:
T(x, y) = (x, y)
Reflection over y-axis:
T(x, y) = ( x,y)
Reflection over line y = x: T(x, y) = (y, x)
O Reflection over y-axis:
T(,Y)= (x,y)

Answers

Answer:

T(x,y)=(x,y) is false

Step-by-step explanation:

describe this graph of a Ferris wheel

Answers

Answer:

A wheel completes a rotation when it moves 360 degrees. The descriptions of the graph are: The Ferris wheel will rotate 4 times.

Step-by-step explanation:

but what graph

The Ferris wheel makes 4 rotations.

The maximum points on the graph represent when the Ferris wheel is at the top, and the minimum points on the graph represent when the Ferris wheel is at the bottom

The standard form of a quadratic equation is given as y=ax^2+bx+c and vertex form is given as y=a(x−h)^2+k. Write a formula that relates the values of a,b, and c in y=ax^2+bx+c to the values of a,h, and k in y=a(x−h)^2+k. For instance, h=ax+b would be a formula that relates h to a and b.

Answers

Answers:

[tex]h = -\frac{b}{2a}\\\\k = \frac{-b^2+4ac}{4a}\\\\[/tex]

where 'a' cannot be zero.

=========================================================

Explanation:

The vertex is (h,k)

The x coordinate of the vertex is h which is found through this formula

[tex]x = -\frac{b}{2a}[/tex]

For example, if we had the quadratic [tex]y = 3x^2-6x+5[/tex], then we'll plug in a = 3 and b = -6 to get: [tex]h = -\frac{b}{2a} = -\frac{-6}{2*3} = 1[/tex]

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

To find the value of k, we plug that h value into the original standard form of the quadratic and simplify.

[tex]y = ax^2+bx+c\\\\k = ah^2+bh+c\\\\k = a\left(\frac{-b}{2a}\right)^2+b\left(\frac{-b}{2a}\right)+c\\\\k = a*\frac{b^2}{4a^2}+\frac{-b^2}{2a}+c\\\\k = \frac{b^2}{4a}+\frac{-b^2}{2a}+c\\\\[/tex]

[tex]k = \frac{b^2}{4a}+\frac{-b^2}{2a}*\frac{2}{2}+c*\frac{4a}{4a}\\\\k = \frac{b^2}{4a}+\frac{-2b^2}{4a}+\frac{4ac}{4a}\\\\k = \frac{b^2-2b^2+4ac}{4a}\\\\k = \frac{-b^2+4ac}{4a}\\\\[/tex]

It's interesting how we end up with the numerator of [tex]-b^2+4ac[/tex] which is similar to [tex]b^2-4ac[/tex] found under the square root in the quadratic formula. There are other ways to express that formula above. We need [tex]a \ne 0[/tex] to avoid dividing by zero. The values of b and c are allowed to be zero.

Answer:

The minimum is at (1,-8). In the equation y = (x – 1)2 – 8, h = 1 and c = 8. So, the x-coordinate of the minimum is the same as the h-value in the equation, and the y-value of the minimum is the opposite of the c-value.

Step-by-step explanation:

plato

What is 7(x-3) Equal to

Answers

Answer is 7x-21
....

Answer:

7x-21

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In the circle represented by the equation (x-4)2+(y-3)2=25, the diameter is

Answers

i’m pretty positive the answer is (-3,4)

I need help with this

Answers

Answer:

If the bottom is 14 it's 6 and 8

Please don’t answer just for point! I really need help~

Answers

Pink and yellow are perpendicular

The digit in the hundreds place is 4 less then 5.

Answers

Yes?? i dont understand the question that much

Step-by-step explanation:

Juan texts 20 messages in 5 minutes. At this rate how many text messages can he send in 30 minutes

Answers

Answer:

The answer 120 MESSAGES

First make a ratio from messages to mins:

Messages/mins = 20/5=messages/30

Messages = (30x20)/5 = 120

Final answer : 120 messages

h(x) = x^2 - 5x +7
Find h(-5)

Answers

Answer:

57

Step-by-step explanation:

h(-5) = (-5)^2 - 5(-5) + 7

h(-5) = 25 + 25 +7

h(-5) = 57

Answer:

[tex]\bold{h(-5)=57}[/tex]

Step-by-step explanation:

Substitute [tex]-5[/tex] for everywhere there is [tex]x[/tex]

[tex]h(x) = x^2 - 5x +7\\=-5^2 - 5(-5) +7[/tex]

[tex]-5^2 - 5(-5) +7[/tex]

PEMDAS order of operations

Parenthesis

[tex]\bold{-5\times(-5)}\\=25[/tex]

[tex]-5^2+25 +7[/tex]

Exponents

[tex]\bold{-5^2}\\=-5\times-5\\=25[/tex]

[tex]25+25 +7[/tex]

Addition

[tex]25+25+7\\=50+7\\=57[/tex]

Therefore, [tex]\bold{h(-5)=57}[/tex].

A fast food place was selling 5 boxes of chicken nuggets for 25.50 a competing restaurant was selling 1 box of chicken strips for 5.50 which is better priced per box, 5 boxes chicken nuggets for 25.50 or 1 box of chicken strips for 5.50

Answers

Answer:

The chicken which is sold for 5 boxes for 25.50 is better priced.

Step-by-step explanation:

If you buy five boxes of the chicken from the place where it is 5.50 a box, buying five will be 27.50, which costs more than the place with the 25.50 price for five boxes.

Solve this system of equations using the Substitution method. Don't forget to write your final answer as a coordinate point.

3x + y = -2

y = 2x + 3

Answers

Answer:

(x, y) = (-1, 1)

Step-by-step explanation:

Scott is shopping for juice at the grocery store. He is deciding between two bottles of juice:

•16 oz. of juice for $2.00, and
•24 oz. of juice for $2.40.

Which bottle of juice is the better buy?

Answers

Answer:

24 oz

Step-by-step explanation:

16 + 16 is 24. and if you were to buy two 16 oz juices, it would make the price $4.00.  So, you're getting double the amount of 16 oz juice for $1.60 off.

find the domain of f(x). f(x) = √9x+36​

Answers

Answer:

The domain in interval notation is [-4,∝) or set build: {x|x[tex]\geq[/tex]

Step-by-step explanation:

I'm assuming the 9x and the 36 are in the root

[tex]\sqrt{9x+36}[/tex]

first we must solve for x

[tex]{9x+36}\geq 0[/tex]

substract 36 to both sides

[tex]{9x}\geq -36[/tex]

divide by 9 to both sides

[tex]\frac{9x}{9} }\geq \frac{-36}{9}[/tex]

simplify left side

[tex]x\geq \frac{-36}{9}[/tex]

simplfy right side

[tex]x\geq -4[/tex]

The domain in interval notation is [-4,∝) or set build: {x|x[tex]\geq[/tex]-4}

A train takes 50 minutes to travel 106.3 if the train travels at the same rate how long would it take to travel 416 miles

Answers

Answer:

Step-by-step explanation:

Let's find how many miles the train travels per minute.

do 106.3miles/50minutes=2.13miles/minute.

now we know it travels 2.13miles per minute.

we can know find the amount time it takes for the train to travel 416miles.

416miles/2.13miles= about 195.3 minutes or 11718seconds, or 3.3 hours.

Which expressions are equivalent to -56z+28?
A.) 1/2⋅(-28z+14)
B.)(-1.4z+0.7) x 40
C.) (14-7z)⋅(-4)
D.)(8z−4)(−7)
E.)−2(−28z−14)
PLEASE HELP THANK YOU!!!

Answers

I think the answer is D :)

Please help Tysm!! <3

Answers

Answer:

68 homes

Step-by-step explanation:

1. First, let's set up a proportional relating the home to the # of hours.

[tex]\frac{17}{49} = \frac{x}{196}[/tex]

2. Now, let's see if we can divide 196 by 49. If so, the quotient we get is the number we multiply 17 by to get x.

[tex]196/49 = 4[/tex] This means that we multiply 17 by 4 to get x.[tex]17 * 4 = 68[/tex]

Therefore, the answer is 68 homes.

What is 7.125 simplified as a fraction?

Answers

Answer: 7 [tex]\frac{1}{8}[/tex] or [tex]\frac{57}{8}[/tex]

Step-by-step explanation:

0.125 = 1/8

Please write a rule for this table BEGGING

Answers

Answer:

y = 3x = 1

Step-by-step explanation:

Answer:

y = 3x - 1

Step-by-step explanation:

Check. Plug in the given x, and see if the result is the given y:

y = 3x - 1

When: (x = 8 , y = 23)

23 = 3(8) - 1

23 = (3 * 8) - 1

23 = (24) - 1

23 = 23 (True).

When: (x = 2 , y = 5)

5 = 3(2) - 1

5 = (3 * 2) - 1

5 = 6 - 1

5 = 5 (True)

When: (x = -3 , y = -10)

-10 = 3(-3) - 1

-10 = (3 * -3) - 1

-10 = (-9) - 1

-10 = -10 (True).

When (x = 9 , y = 26)

26 = 3(9) - 1

26 = (3 * 9) - 1

26 = (27) - 1

26 = 26 (True).

When you graph, simply graph the given points (bolded) onto the graph.

Oceanside Bike Rental Shop charges a 13 dollars fixed fee plus 7 dollars an hour for
renting a bike. Keith paid 69 dollars to rent a bike. How many hours did he pay to have
the bike checked out? Let h = number of hours bike was checked out

Answers

Answer:

8 hours

Step-by-step explanation:

69-13=56

56/7=8

13+7h=69

HELP ASPAP!! ANSWER CORRECLTY

Answers

Answer:

17

Step-by-step explanation:

Answer:

plot 17

Step-by-step explanation:

12-(-5) = 12+5 = 17

f (x) = 3x - 2 - g (x) = 2x + 1

Answers

Answer:

Step-by-step explanation:

The answer is easy it’s 24

1. Rosie orders dessert at the cafe. The total bill is $50. She tips the waiter 10%.
How much money does the waiter get?

Answers

Answer:

5

Step-by-step explanation:

this means it'll be $55

Find the factors of f(x) given that x = −3 is a zero.
f(x) = x^3 + 12x^2 + 47x + 60
(x + 3)(x + 4)(x − 5)
(x + 3)(x + 4)(x + 5)
(x − 3)(x + 5)(x + 6)
(x + 3)(x + 3)(x − 3)

Answers

[tex]x^3+12x^2+47x+60\\\\=x^3+3x^2 +9x^2+27x+20x+60\\\\=x^2(x+3) + 9x(x+3)+20(x+3)\\\\=(x+3)(x^2+9x+20)\\\\=(x+3)(x^2 + 4x +5x +20)\\\\=(x+3)[x(x+4)+5(x+4)]\\\\=(x+3)(x+4)(x+5)[/tex]

help please i’m doing homework and i can’t fail this lesson.

Answers

Answer: y = 3x +1

Step-by-step explanation:

An ice cream store has 31 flavors of ice cream and 10 toppings. A regular sundae has one flavor of ice cream, one topping, and comes with or without whipped cream. How many different ice cream sundaes can be ordered?

Answers

10 because there is only 10 toppings and each only comes with one topping!

Answer:

610

Step-by-step explanation:

31 x 10= different flavour and topping combination

x2 = for the whipped cream different option

What is the length of DF?
F
За
IT
E
G
a +6
D
DF =

Answers

Answer:

  18

Step-by-step explanation:

Triangles FEG and DEG are congruent by SAS, so DG = FG.

  a+6 = 3a

  6 = 2a

  3 = a

  3a = 3·3 = 9 = FG = DG

DF = 9+9 = 18

What is the following product? Assume x greater-than-or-equal-to 0 (4 x StartRoot 5 x squared EndRoot 2 x squared StartRoot 6 EndRoot) squared.

Answers

The simplified expression for the product [tex](4x\sqrt{5x^2} )(2x^2\sqrt{6})[/tex] is:

[tex]8\sqrt{30} x^4[/tex]

The given expression is:

[tex](4x\sqrt{5x^2} )(2x^2\sqrt{6})[/tex]

Note that :

[tex]\sqrt{5x^2} = x\sqrt{5}[/tex]

The given expression can then be re-written as:

[tex](4x^2\sqrt{5} )(2x^2\sqrt{6})[/tex]

Multiplying like terms together:

[tex]8x^4\sqrt{30}[/tex]

Finally, the resulting expression can be written as:

[tex]8\sqrt{30} x^4[/tex]

Learn more here: https://brainly.com/question/25913492

Answer:

D 104 x Superscript 4 + 16 x Superscript 4 Baseline StartRoot 30 EndRoot

Step-by-step explanation:

Edg 2022

A half circle is joined to an equilateral triangle with side lengths of 12 units.

What is the perimeter of the resulting shape? Type your answer in the box below.

Answers

Answer:

P = 12 pi units + 24 units.

Step-by-step explanation:

All sides of an equilateral triangle are of the same length.  Here that length is 12 units.  We take a circle of diameter 12 units and cut it in half through its center.  Finally, we join the triangle (remembering that all of the side lengths are 12 units) to the half circle of diameter 12 units.

The half circle portion of the resulting shape has circumference 2(pi)(12 units) divided by 2, or 12 pi units.  This is half the formula C = 2(pi)(r).  The two non-attached sides of the triangle have a total length of 24 units.

Thus, the perimeter of the resulting figure is P = 12 pi units + 24 units.

please help! i need for this to be done.


Solve.

t+7.45=1334

Enter your answer as either a decimal or a mixed number in simplest form in the box.

t =

Answers

Answer:

t = 6.3

Step-by-step explanation:

t + 7.45 = 13 [tex]\frac{3}{4}[/tex] = 13.75 ( subtract 7.45 from both sides )

t = 6.3

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