Question

What is the effect on the graph of the function f(x) = 2x when f(x) is replaced with f(−5x)?

A) vertical stretching and reflection across the x-axis

B) vertical compression and reflection across the x-axis

C) horizontal compression and reflection across the y-axis

D) horizontal stretching and reflection across the y-axis

Answer 1

C) horizontal compression and reflection across the y-axis

Explanation:

To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.

Please see the attached image below, to find more information about the graph

The original equation is:

f(x) = 2x

The new equation is:

f(-5x) = 2(-5x)

f(-5x) = -10*x

The answer is

C) horizontal compression and reflection across the y-axis