Mod 1 Analyzing Functions - Assessment Readiness

Question

Consider the linear equation g (x ) = −f (x + 3) − 2. Choose True or False for each statement. A. When compared to f (x ) = x 2 , g (x ) will have a vertical stretch of 3. True False B. When compared to f (x ) = x 2 , g (x ) will be reflected over the x -axis. True False C. When compared to f (x ) = x 2 , g (x ) will be translated left 3 units, and down 2 units. True False

Answer 1

g(x) = −f(x + 3) − 2

A. When compared to f(x) = x² , g(x) will have a vertical stretch of 3.

g(x) will translate 3 units to the left because h = -3. It will not have a vertical stretch of 3. FALSE

B. When compared to f(x) = x² , g(x) will be reflected over the x-axis.

g(x) will reflect over the x-axis because the negative is in front of the original f(x). Only the y-value will change and x-value remains the same. TRUE

C. When compared to f(x) = x² , g(x) will be translated left 3 units, and down 2 units.

h = -3 and k = -2 TRUE