Quiz about Algebra 2 Honors Unit 2 Functions Test

Question 1

g(x) = 11 - x
Find g(-7)

Accepted Answer

g(-7) = 18

Answer

g(-7) = 4

Answer

g(-7) = 17

Answer

g(-7) = -77

Question 2

Evaluate f(t)=-2t²+ 1 for f(2)

Accepted Answer

-7

Answer

9

Answer

17

Answer

-17

Question 3

What is the equation of the absolute value function?

Accepted Answer

f(x)= |x| + 4

Answer

f(x)= |x+4|

Answer

f(x)= |x-4|

Answer

f(x)= |x| - 4

Question 4

What is the equation of the graph below?

Accepted Answer

f(x) = I x - 2 I

Answer

f(x) = I x + 2 I

Answer

f(x) = I x + 2 I +2

Answer

f(x) = I x - 2 I +2

Question 5

Describe the transformation of the equation below from the parent function of y = IxI and then graph the new function on the separate sheet of paper.

y = I x + 2 I - 5

Accepted Answer

Left 2 down 5

Answer

Left 2 up 5

Answer

Right 2 up 5

Answer

Right 2 down 5

Question 6

Which graph matches the function:
y = -2|x - 3| + 5

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 7

How did the function y=-x³+7 shift from the parent function? Graph the function on the separate sheet of paper.

Accepted Answer

up 7 and reflect over the x-axis

Answer

down 3 and up 7

Answer

left 7 and reflect over the x-axis

Answer

right 7 and reflect over the y-axis

Question 8

Identify the transformation of the function f(x)=x²to g(x)= x² - 5.

Accepted Answer

shifted down five units

Answer

shifted up five units

Answer

shifted left five units

Answer

shifted right five units

Question 9

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 10

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

Accepted Answer

g(x)=(x-1)³

Answer

g(x)=x3+1

Answer

g(x)=x3-1

Answer

g(x)=(x+1)³

Question 11

Identify the transformation from the graph of f(x)=x²to the graph g(x)= -(x+5)². Then, graph the new function on the separate sheet of paper.

Accepted Answer

shifted left 5 units

reflection x-axis

Answer

shifted up five units

reflection in x-axis

Answer

shifted down five units

reflection in x-axis

Answer

shifted right 5 units

reflection x-axis

Question 12

What are the transformations of this function compared to the parent function? Graph the new function on the separate sheet of paper.

Accepted Answer

Reflected over the x-axis, vertical stretch, and shifted right 5

Answer

Shifted right 5, shifted down 2, and reflected over the x-axis

Answer

Reflected over the x-axis, vertical stretch, and shifted left 5

Answer

Shifted right 5, shifted down 2

Question 13

Which equation shows a function that is translated left 4 and 7 up?

Accepted Answer

y = |x + 4| + 7

Answer

y = (x - 4)² + 7

Answer

y = (x + 7)² - 4

Answer

y = |x + 4| - 7

Question 14

A piecewise function (f(x)) is shown in the graph. What is f when x equals -4?

Accepted Answer

-2

Answer

-4

Answer

0

Answer

Does not exist

Question 15

Use the piecewise function from the picture.  Evaluate f(-4).

Accepted Answer

7

Answer

7.9

Answer

-4

Answer

-25

Question 16

What is f(6)?

Accepted Answer

3

Answer

20

Answer

33

Answer

3, -3

Question 17

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

Accepted Answer

-3

Answer

-1

Answer

1

Answer

3

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