Quiz about algebra 2 Functions/transformations

Question 1

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

Accepted Answer

Vertical translation up by 2 units.

Answer

Translation left 2 units

Answer

Narrower

Answer

Reflection across the x-axis.

Question 2

Describe the transformation of y = g(x) for the function
y = 3g(x - 3) + 5

Accepted Answer

Shifted up 5 units
Shifted right 3 units
Stretched vertically by a factor of 3

Answer

Shifted up 5 units
Shifted left 3 units
Stretched vertically by a factor of 3

Answer

Shifted down 5 units
Shifted left 3 units
Stretched vertically by a factor of 3

Answer

Shifted down 5 units
Shifted left 3 units
Stretched vertically by a factor of 1/3

Question 3

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

Accepted Answer

-f(x)

Answer

f(-x)

Answer

f-1(x)

Answer

f(2x)

Question 4

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 5

Identify the transformations.

Accepted Answer

horizontal shift to the right 2 and vertical stretch by a factor of 3

Answer

horizontal shift to the left 2 and vertical stretch by a factor of 3

Answer

horizontal shift to the right 2 and vertical shrink by a factor of 3

Answer

horizontal shift to the left 2 and vertical shrink by a factor of 3

Question 6

If the yellow curve has equation f(x)=x²,

Accepted Answer

Then the blue curve is f(x) = (x+c)²

Answer

Then the blue curve is f(x) = x²- c

Answer

Then the blue curve is f(x) = (x-c)²

Answer

Then the blue curve is f(x) = x² + c

Question 7

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)

Accepted Answer

g(x)=2f(x)

Answer

g(x)=0.5f(x)

Answer

g(x)=f(x) + 2

Answer

g(x)=f(x + 2)

Question 8

Question 8.

Accepted Answer

y = -Ix + 2I - 1

Answer

y = Ix + 2I - 1

Answer

y = -Ix - 2I - 1

Answer

y = -Ix + 1I - 2

Question 9

What type of function is shown?

Accepted Answer

square root

Answer

cube root

Answer

logarithm

Answer

exponential

Question 10

Find f(-2)

Accepted Answer

8

Answer

-3

Answer

6

Answer

-6

Question 11

Find f(0)

Accepted Answer

4

Answer

-3

Answer

18

Answer

0

Question 12

f(x) = 9-3x
g(x) = 5x-7
Find f(x)+g(x).

Accepted Answer

2x+2

Answer

14x-10

Answer

-8x+2

Answer

2x-2

Question 13

f(x)=x²+1
g(x)=2x-5
Find f(x)-g(x)

Accepted Answer

x2-2x+6

Answer

-x2+2x+4

Answer

-x2-2x-6

Answer

x2-2x-4

Question 14

f(x)=2x+4
g(x)=3x²-1
Find f(x)*g(x)

Accepted Answer

6x³+12x²-2x-4

Answer

6x⁴+12x³-4x²-8x

Answer

-6x³+12x²+2x-4

Answer

5x²-18x+20

Question 15

Perform the indicated operation:

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 16

Find the inverse of
f(x) = 1/4x - 7

Accepted Answer

f^-1(x) = 4x + 28

Answer

f^-1(x) = 4x + 7

Answer

f^-1(x) = -4x + 28

Answer

f^-1(x) = -4x - 7

Question 17

Are these functions inverses?

Accepted Answer

No

Answer

Yes

Answer

No way to tell

Question 18

The relation in the graph is..

Accepted Answer

not a function

Answer

a function but not a one-to-one function.

Answer

a one-to-one function.

Question 19

Is this mapping a function or not a function?

Accepted Answer

Not a Function

Answer

Function

Question 20

Question 20.

Accepted Answer

Not Inverse Functions

Answer

Inverse Functions

Question 21

Find g(f(x))

Accepted Answer

2x + 5

Answer

2x + 10

Answer

x - 5

Answer

x + 5

Question 22

Find g[h(3)]

Accepted Answer

-69

Answer

-71

Answer

69

Answer

71

algebra 2 Functions/transformations

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