What transformations to the linear parent function, f (x) = x, give the function

g (x) = 4x - 2? Select all that apply.

A. Shift down 2 units.

B. Vertically stretch by a factor of 4.

O c. Horizontally stretch by a factor of 4.

O D. Shift left 2 units.

A. Shift down 2 units.

B. Vertically stretch by a factor of 4.

Step-by-step explanation:

Given the function

f (x) = x

If we stretch y vertically by a factor of m, we have: y=m·f (x)

Therefore:

Vertically stretching f (x) by a factor of 4, we have: 4x.

Next, if we take down f (x) by k units we have: y = f (x) - k

Therefore: Taking down 4x by 2 units, we obtain:

g (x) = 4x-2

Therefore, Options A and B applies.