Quiz about Unit 3: Parent Functions and Transformations

Question 1

Using the pictured graph, what is f(-3)?

Accepted Answer

-3

Answer

-1

Answer

1

Answer

3

Question 2

Find f(-2)

Accepted Answer

8

Answer

-3

Answer

6

Answer

-6

Question 3

Match the graph with the correct equation.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 4

Describe each transformation

Accepted Answer

stretch by factor of 1/4, left 3, down 1

Answer

stretch by factor of 1/4, right 3, down 1

Answer

stretch by factor of 1/4, right 3, up 1

Answer

stretch by factor of 1/4, left 3, up 1

Question 5

Determine the vertex for each absolute value function

Accepted Answer

(3, 1)

Answer

(-3, -1)

Answer

(-3, 1)

Answer

(3, -1)

Question 6

Which function is graphed?

Accepted Answer

f(x) = -3|-x + 1| + 4

Answer

f(x) = -|x - 1| + 4

Answer

f(x) = -5|x + 1| + 4

Answer

f(x) = -3|x - 4| + 1

Question 7

Describe the transformation that occurred

m(x) = f(x + 1)

Accepted Answer

Left 1 Unit

Answer

Right 1 unit

Answer

vertical stretch

Answer

up 1 unit

Question 8

Describe the transformation that occurred

h(x) = 1/5f(x)

Accepted Answer

vertical compression

Answer

Up 5 Units

Answer

vertical stretch

Answer

Down 5 Units

Question 9

Question 9.

Accepted Answer

Absolute Value

Answer

Quadratic

Answer

Cubic

Answer

Linear

Question 10

Find the vertex of
f(x) = -x²- 4x + 12.

Accepted Answer

(-2, 16)

Answer

(2, 0)

Answer

(2, 4)

Answer

(-2, 4)

Question 11

Find the y-intercept y = x² - 6x + 5

Accepted Answer

(0, 5)

Answer

(0, 8)

Answer

(0, - 6)

Answer

(5, 0)

Question 12

What is the axis of symmetry of the given function?

Accepted Answer

x = 1

Answer

y = 1

Answer

y = -1

Answer

x = -1

Question 13

Convert to vertex form.

Accepted Answer

y=3(x+1)² - 8

Answer

y=3(x-1)² - 8

Answer

y=3(x+2)² - 8

Answer

y=3(x-2)² - 8

Question 14

What are the zeros of the parabola?

Accepted Answer

1, 5

Answer

3, -5

Answer

3, 0

Answer

-6, 1

Question 15

Which answer choice describes y = -3x² +7x - 2 accurately?

Accepted Answer

opens down with a maximum

Answer

opens up with a maximum

Answer

opens up with a minimum

Answer

opens down with a minimum

Question 16

Does the equation open up or down?
Y = -3x² +7x - 2

Accepted Answer

down

Answer

up

Answer

Neither; it opens to the right.

Answer

Neither; it opens to the left.

Question 17

Determine the vertex of the parabola:
y = 5x²- 20x + 13

Accepted Answer

(2, -7)

Answer

(5, -7)

Answer

(-2, -7)

Answer

(-7, -2)

Question 18

Convert to vertex form.

Accepted Answer

y=1/2(x-8)² - 29

Answer

y=1/2(x-4)² - 29

Answer

y=1/2(x+4)² - 29

Answer

y=1/2(x+8)² - 29

Question 19

Given: y = 2(x - 5) + 6, the vertex is

Accepted Answer

(5, 6)

Answer

(2, -5)

Answer

(-5, 6)

Answer

(2, 6)

Question 20

Which quadratic function is represented by the graph?

Accepted Answer

y = -2(x + 4)² + 5

Answer

y = 2(x - 4)² + 5

Answer

y = 2(x + 4)² + 5

Answer

y = -2(x - 4)² + 5

Question 21

Find the y-intercept of the function

y = -3(x + 2)² - 5

Accepted Answer

(0, -17)

Answer

(0, -5)

Answer

(-2, -5)

Answer

(2, -5)

Question 22

Convert the equation y= x²+4x into vertex form.

Accepted Answer

y= (x+2)²-4

Answer

y= (x+4)²-4

Answer

y= (x-2)²+4

Answer

y= (x+2)2

Question 23

Does the graph of
-2(x + 5) + 2
have a minimum or a maximum?

Accepted Answer

Maximum

Answer

Minimum

Answer

It has neither.

Answer

It has both.

Question 24

Which quadratic function is represented by the graph?

Accepted Answer

y = (x + 2)² + 2

Answer

y = (x - 2)² + 2

Answer

y = (x - 2)² - 2

Answer

y = -(x - 2)² + 2

Question 25

Name the parent function.

Accepted Answer

linear

Answer

constant

Answer

quadratic

Answer

exponential

Question 26

What piece of information does c identify in the following equation?

y = ax²+ bx + c

Accepted Answer

y-intercept

Answer

Zeroes

Answer

Axis of Symmetry

Answer

Direction

Question 27

Graph

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 28

Using the pictured graph, what is f(2)?

Accepted Answer

3

Answer

-3

Answer

-1

Answer

1

Question 29

Is (2, 3) part of the solution set?
y < 2x²-3x+1

Accepted Answer

No

Answer

Yes

Question 30

Which correctly shows the inequality $$y

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 31

Which of the following equations is NOT a quadratic function?

Accepted Answer

$$h(x)=2x^3+9x^2-8x$$

Answer

$$g(x)=(x+4)(x-6)$$

Answer

$$m(x)=\frac{1}{2}x^2-3x+5$$

Answer

$$f(x)=0.5x^2+7.2x$$

Question 32

What are the x-intercepts of this function?

Accepted Answer

(1,0) and (5, 0)

Answer

(0, 3) and (0, -5)

Answer

(1, 5) and (5, 1)

Answer

(0, 1) and (0, 5)

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics