Question 1(Multiple Choice Worth 1 points)
(08.05 LC)

Describe the change in the graph of the parabola f(x) when it transforms into g(x) = two thirds f(x).

The parabola g(x) will open in the opposite direction of f(x), and the parabola will be narrower than f(x).
The parabola g(x) will open in the same direction of f(x), and the parabola will be narrower than f(x).
The parabola g(x) will open in the opposite direction of f(x), and the parabola will be wider than f(x).
The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).
Question 2(Multiple Choice Worth 1 points)
(08.05 MC)

Use the functions f(x) and g(x) to determine which function has the largest zero and provide its coordinates.

f(x) = 4x2 − 16x + 16

x g(x)
18 −17
19 0
20 19
21 40
22 63
f(x); (−2, 0)
f(x); (2, 0)
g(x); (19, 0)
g(x); (63, 0)
Question 3(Multiple Choice Worth 1 points)
(08.05 MC)

Determine which of the following statements is true concerning the values described in column #1 and column #2.

Column #1 Column #2
The x-coordinate of the vertex of the equation
y = 3x2 − 6x + 1 The x-coordinate of the vertex of the equation
y = −x2 + 4x − 6
The value found in column #1 is equivalent to the value found in column #2.
The value found in column #1 is greater than the value found in column #2.
The value found in column #1 is less than the value found in column #2.
The relationship between column #1 and column #2 cannot be determined by the information given.
Question 4(Multiple Choice Worth 1 points)
(08.05 LC)

Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.

two parabolas open up with f of x passing through negative 3 comma negative 3 and g of x passing through negative 3 comma 1

k = −3
k = 1
k = 4
k = 5
Question 5(Multiple Choice Worth 1 points)
(08.05 LC)

Given a graph for the transformation of f(x) in the format g(x) = f(kx), determine the k value.

two parabolas open up with f of x passing through 2 comma 5 and g of x passing through 1 comma 5

k = −2
k = 2
k = negative one half
k = one half
Question 6(Multiple Choice Worth 1 points)
(08.05 MC)

Use the function f(x) = x2 + 6x + 6 and the graph of g(x) to determine the difference between the maximum value of g(x) and the minimum value of f(x).

a parabola that opens down and passes through 0 comma 3, 3 comma 12, and 5 comma 8

15
12
9
3
Question 7(Multiple Choice Worth 1 points)
(08.05 MC)

Functions 1 and 2 are shown:

Function 1: f(x) = −4x2 + 9

Function 2: a parabola that opens down the goes through points negative 2 comma 1, 0 comma 9, and 2 comma 1

Function 1 has a larger maximum.
Function 2 has a larger maximum.
Function 1 and Function 2 have the same maximum.
Function 1 does not have a maximum value.
Question 8(Multiple Choice Worth 1 points)
(08.05 MC)

The function f(x) = x2 + 6x + 3 is transformed such that g(x) = f(x − 2). Find the vertex of g(x).

(−1, −8)
(−3, −4)
(−1, −6)
(−5, −6)
Question 9(Multiple Choice Worth 1 points)
(08.05 MC)

Functions f(x) and g(x) are shown:

f(x) = x2
g(x) = x2 + 8x + 16

In which direction and by how many units should f(x) be shifted to match g(x)?

Left by 4 units
Right by 4 units
Left by 8 units
Right by 8 units
Question 10(Multiple Choice Worth 1 points)
(08.05 MC)

Two quadratic functions are shown:

Function 1: Function 2:
f(x) = 4x2 + 8x + 1
x g(x)
−2 2
−1 0
0 2
1 8

Which function has the lowest minimum value, and what are its coordinates?
Function 1 has the lowest minimum value, and its coordinates are (−1, −3).
Function 1 has the lowest minimum value, and its coordinates are (0, 1).
Function 2 has the lowest minimum value, and its coordinates are (−1, 0).
Function 2 has the lowest minimum value, and its coordinates are (0, 2).