Question

The graph of the parent function f(x) = x3 is transformed such that g(x) = f(–2x). How does the graph of g(x) compare to the graph of f(x)?
a) g(x) is stretched horizontally and reflected over the y-axis.
b) g(x) is stretched horizontally and reflected over the x-axis.
c) g(x) is compressed horizontally and reflected over the y-axis.
d) g(x) is compressed horizontally and reflected over the x-axis.

Answer 1

Answer:

b) g(x) is stretched horizontally and reflected over the x-axis.

Step-by-step explanation:

The given parent function is

$f(x) = {x}^{3}$

The transformed function is

$g(x) = f (- 2x)$

We want to see how the transformed graph compares with the parent graph.

The negation inside means all x-coordinates we're negated.

This means, there is a reflection in the y-axis.

The factor of 2 within the function means a horizontal stretch by a factor of 1/2.

The correct answer is B.

Answer 2

Answer:

It's C. g(x) is compressed horizontally and reflected over the y-axis.

Step-by-step explanation:

I just got it correct on e2020