Question

Use transformation of the parent graph of the m(x)=sqrt(x) to sketch the graph of p(x) = -sqrt(x)-3

Answer 1

First we need to look at the change of signal of the function (it changes from √x to -√x).

This change of signal means the function was reflected over the x-axis.

Then, the value of -3 was added to the function.

An addition of -3 in the function means a translation of 3 units down.

So the transformations from m(x) to p(x) are:

A reflection over the x-axis followed by a translation of 3 units down.