Question

If you horizontally stretch the linear parent function, *x) = x, by a factor of 4,what is the equation of the new function?A. g(x) = 4xB. g(x) = * *C. g(x) = x-4D. g(x) = 4 - xSUBMIT

Answer 1

We are given the parent function

`f(x)=x`

To apply a vertical stretch, what we do is multiply f by a scale factor. When the factor is less than 1, it is a vertical compression, and when it is a stretch, the factor is greater than 1.

Since we are told that it is a vertical stretch by a factor of 5, we simply multiply f by 5. So we have that

`5\cdot f(x)=5\cdot x=g(x)`

So option C would be correct.