Question

If you apply the changes below to the linear parent function, fx) = x, what is

the equation of the new function?
• Vertically stretch by a factor of 4.
• Flip over the x-axis.
O A g(x) = - 1/4 x
B. g(x) = -1/4x-1
O C. g(x) = -4x
O D. g(x) = 1/4x

Answer 1

C

Explanation:

A vertical stretch is accomplished by multiplying the parent by the stretch factor (given as 4 in this problem). At that point, the function is

h(x) = 4x

To flip over the x-axis, change the sign of the function's rule.

g(x) = -4x

In the attached image, f(x) = x is purple, h(x) = 4x is black, g(x) = -4x is red.