What kind of transformation converts the graph of f(x)= – 4x–3 into the graph of g(x)= – x–3?

Question

Please answer this for me! I have been struggling for hours.

It has to be either a vertical stretch or horizontal shrink!

Answer 1

So, if you start with

f(x) = -4x-3 and want to end up with

g(x) = -x-3, you need to transform f(x) as follows:

f(1/4 . x) = -4 . (1/4) . x - 3 = -x-3, which is equal to g(x) = -x-3

So the transformation is a horizontal stretch by a factor of 4. Recall, that if you start with f(x), the transformation f(c.x) gives you a horizontal stretch if c < 1, and a horizontal compression if c >1.

Answer 2

horizontal shrink