1. (03.04)

For the function f(x) = -2(x + 3)² - 1, identify the vertex, domain, and range. (2 points)

A. The vertex is (3, -1), the domain is all real numbers, and the range is y = -1.

B. The vertex is (3, -1), the domain is all real numbers, and the range is y = -1.

C. The vertex is (-3, -1), the domain is all real numbers, and the range is y = -1.

D. The vertex is (-3, -1), the domain is all real numbers, and the range is y = -1.

2.

(03.04)

What is the equation of the following graph in vertex form?

Courtesy of Texas Instruments (2 points)

A. y = (x - 4)² - 4

B. y = (x + 4)² - 4

C. y = (x + 2)² + 6

D. y = (x + 2)² + 12

3.

(03.04)

Given the function f(x) = x² and k = 3, which of the following represents the graph becoming more narrow? (2 points)

A. f(x) + k

B. kf(x)

C. f(x + k)

D. f(k - x)

4.

(03.04)

Calculate the average rate of change for the given graph from x = 0 to x = 3 and select the correct answer below.

Courtesy of Texas Instruments (2 points)

A. 6

B. 3

C. -2

D. 2

5.

(03.04)

Given the functions f(x) = 2x² - 8x, g(x) = x² - 6x + 1, and h(x) = -2x², rank them from least to greatest based on their axis of symmetry.(2 points)

A. g(x), f(x), h(x)

B. f(x), g(x), h(x)

C. h(x), f(x), g(x)

D. h(x), g(x), f(x)

Side note: I wont be using your work I just need the answers to make sure I did them right. thanks!