Chapter 2.5, Problem 36SB

In Problem 27-30, find the function that is finally graphed after each of the following transformations is applied to the graph of $y\text{ = }\sqrt{x}$ in the order stated.

Suppose that the $x\text{-intercepts}$ of the graph of $y\text{ = }f\left(x\right)$ are $-8$ and $1$.

(a) What are the $x\text{-intercepts}$ of the graph of $y\text{ = }f\left(x\text{ + 4}\right)$?

(b) What are the $x\text{-intercepts}$ of the graph of $y\text{ = }f\left(x\text{ - 3}\right)$?

(c) What are the $x\text{-intercepts}$ of the graph of $y\text{ = 2}f\left(x\right)$?

(d) What are the $x\text{-intercepts}$ of the graph of $y\text{ = }f\left(-x\right)$?