Question

the graph of y = √x is given below: graph description. find a formula for each of the transformations whose graphs are given below. recall that square root is entered as sqrt. a) graph description y = blank b)

Explanation:

Step1: Identify transformation type

The original function is $y = \sqrt{x}$. The new graph is a reflection of $y=\sqrt{x}$ about the $x -$axis.

Step2: Apply transformation rule

When a function $y = f(x)$ is reflected about the $x -$axis, the new function is $y=-f(x)$. For $y = \sqrt{x}$, the transformed function is $y =-\sqrt{x}$.

Answer:

$y =-\sqrt{x}$