Quiz about Review of Quadratic Functions

Question 1

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?

Accepted Answer

Right 3 and up 5

Answer

Left 3 and up 5

Answer

Right 3 and down 5

Answer

Left 3 and down 5

Question 2

Name the parent function.

Accepted Answer

quadratic

Answer

linear

Answer

cubic

Answer

logarithmic

Question 3

Describe the transformations of f(x) when compared to the parent function.

f(x)=(x+7)²

Accepted Answer

horizontal shift left 7 units

Answer

horizontal shift right 7 units

Answer

vertical shift up 7 units

Answer

vertical shift down 7 units

Question 4

Match the equation to its description.

Accepted Answer

Right 2 and up 2

Answer

Left 2 and up 2

Answer

Right 2 and down 2

Answer

Left 2 and down 2

Question 5

Which equation describes the transformation of shifting f(x)=x² two units right?

Accepted Answer

(x - 2)2

Answer

x2 + 2

Answer

x2 - 2

Answer

(x + 2)2

Question 6

Which transformation transforms the graph of

f(x) = x² to the graph of

g(x) = (x + 4)²?

Accepted Answer

a horizontal translation 4 units to the left

Answer

a vertical translation 4 units up

Answer

a vertical translation 4 units down

Answer

a horizontal translation 4 units to the right

Question 7

Which transformation transforms the graph of

f(x) = x² to the graph of

g(x) = (x + 4)²?

Accepted Answer

a horizontal translation 4 units to the left

Answer

a vertical translation 4 units up

Answer

a vertical translation 4 units down

Answer

a horizontal translation 4 units to the right

Question 8

What is the parent function for a Quadratic equation?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

y=x

Question 9

Which equation below is a quadratic function translated left 4 units?

Accepted Answer

y = (x + 4)²

Answer

y = x² + 4

Answer

y = (x - 4)²

Answer

y = 4x2

Question 10

Which transformation transforms the graph of

f(x) = x² to the graph of

g(x) = (x + 4)²?

Accepted Answer

a horizontal translation 4 units to the left

Answer

a vertical translation 4 units up

Answer

a vertical translation 4 units down

Answer

a horizontal translation 4 units to the right

Question 11

Given f(x) = (x+2)² - 5. What transformations took place from the original function f(x)?

Accepted Answer

Left 2 and down 5

Answer

Left 2 and up 5

Answer

Right 2 and down 5

Answer

Right 2 and up 5

Question 12

What is the graph of quadratic function?

Accepted Answer

parabola

Answer

circle

Answer

square

Answer

ellipse

Question 13

If given the equation

y = 3(x + 5)² - 4,

what is the vertex of the parabola?

Accepted Answer

(-5, -4)

Answer

(5, -4)

Answer

(-15, -4)

Answer

(15, -4)

Question 14

What is the vertex for the parabola represented by the equation

y = 2(x + 3)² - 8?

Accepted Answer

(-3, -8)

Answer

(3, 8)

Answer

(3, -8)

Answer

(-3, 8)

Question 15

A horizontal shifts move a function...

Accepted Answer

left or right

Answer

up or down

Question 16

Question 16.

Accepted Answer

y=x²+6x+11

Answer

y=x²+3x+11

Answer

y=x2+3x+9

Answer

y=x2+6x+9

Question 17

Question 17.

Accepted Answer

y=x2+6x+2

Answer

y=x2+3x+2

Answer

y=x2+6x-7

Answer

y=x2+6x-2

Question 18

Question 18.

Accepted Answer

y=-(x-3)²-3

Answer

y=(x-3)²+3

Answer

y=(x+3)²-3

Answer

y=(x-3)²+3

Question 19

Question 19.

Accepted Answer

y=-2(x-2)²-1

Answer

y=2(x-2)²-1

Answer

y=-2(x+2)²-1

Answer

y=-2(x-2)²+1

Question 20

Question 20.

Accepted Answer

y=(x+5)²+2

Answer

y=(x-5)²-2

Answer

y=(x+5)²-2

Answer

y=(x-5)²+2

Question 21

Question 21.

Accepted Answer

y=x²-10x+22

Answer

y=x²-25x-22

Answer

y=x²-10x-22

Answer

y=x²-25x+22

Question 22

What is the y-intercept of the graph?

Accepted Answer

(0, -3)

Answer

(0, 1)

Answer

(0, 3)

Answer

(2, 1)

Question 23

How many zeros does this parabola have?

Accepted Answer

2

Answer

3

Answer

0

Answer

1

Question 24

What is another name for the x-intercepts of a quadratic? Select all that apply

Accepted Answer

zeros

Accepted Answer

x-intercept

Accepted Answer

roots

Accepted Answer

solutions

Answer

y-intercept

Question 25

Convert

y = 3(x+1)² - 8 into standard form.

Accepted Answer

y=3x² + 6x - 5

Answer

y=3x² - 6x - 5

Answer

y=3x² + 6x + 5

Answer

y=3x² - 6x + 5

Question 26

Find the zeros.

Accepted Answer

0 and 4

Answer

0 and -4

Answer

0

Answer

-4

Question 27

True or false:

The solution, root, x-intercept, and zero of a problem are all the same thing.

Accepted Answer

True

Answer

False, because the solution and root are the same but the x-intercept and zero are different

Answer

False, because the x-intercept and root are the same but the zero and solution are different

Answer

False, they are all different

Question 28

What are the solutions to this equation? (x-3)(x+2)=0

Accepted Answer

x = {-2, 3}

Answer

x = {-3, 2}

Answer

x = {2, 3}

Answer

x = {-3, -2}

Question 29

Question 29.

Accepted Answer

No real solution

Answer

$$\sqrt[]{3}$$

Answer

$$\pm\sqrt[]{3}$$

Answer

-3

Question 30

Solve by completing the square.x² + 4x= 12

Accepted Answer

x = -6 and 2

Answer

x = 2 and -2

Answer

x = 6 and -2

Answer

x = 1 and -1

Question 31

ax²+bx+c=0 is the standard form of a quadratic equation.

Accepted Answer

True

Answer

False

Question 32

In what step did the student make the mistake?

Accepted Answer

Step 3

Answer

Step 1

Answer

Step 2

Answer

Step 4

Question 33

Solve the equation: 5x² - 35x + 60 = 0

Accepted Answer

x = {3, 4}

Answer

x = {-4, 3}

Answer

x = {-3, 4}

Answer

x = {-4, -3}

Question 34

Solve the equation

$$4x^2+2x-6=0$$

Accepted Answer

x = {-1.5, 1}

Answer

x = {-1, 1.5}

Answer

$$x=\left\{\frac{\left(-2\pm\sqrt[]{92}\right)}{8}\right\}$$

Answer

$$x=\left\{\frac{\left(-2\pm\sqrt[]{100}\right)}{8}\right\}$$

Question 35

What is the vertex of the graph?

Accepted Answer

(3, -1)

Answer

(2, 4)

Answer

(0, 8)

Answer

(4, 2)

Question 36

What should you do first to solve this equation using quadratic formula?

x² + 6x - 13 = 3

Accepted Answer

Make it equal to 0 by subtracting 3 on each side

Answer

Get factored form

Answer

Write down: a=1, b=6, c=-13

Answer

Take half of the b value and square it and then add it to both sides of the equation.

Question 37

Solve for x:

$$\left(x+6\right)^{2\ }=49$$

Accepted Answer

$$x=\left\{-13,\ 1\right\}$$

Answer

$$x=\left\{\pm7\right\}$$

Answer

$$x=\left\{-55,\ 43\right\}$$

Answer

$$x=\left\{7,\ 12\right\}$$

Review of Quadratic Functions

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics