Which of the following describes the differences between the graph of f and the graph of the output of f multiplied by 3?

Question

A) The slope changes by a factor of 3; the y-intercept does not change.

B) Both the slope and y-intercept change by a factor of 3.

C) The slope does not change; the y-intercept changes by a factor of 3.

D) Neither the slope nor y-intercept change.

Answer 1

Take this simple example

if you have f(x) = mx +c

where m is the slope and c is the y intercept

3 f(x) = 3 ( m x + c)

= 3m x + 3c

you can see Both the slope and y-intercept change by a factor of 3.