Question

rewrite y=sqrt(25x-125)+5 to make it easy to graph using a translation. describe the graph

Answer 1

The function given is,

$y=\sqrt{25x-125}+5$

Let us rewrite the function

$\begin{gathered} y=\sqrt{25(x-5)}+5 \\ y=\sqrt{25}(\sqrt{x-5})+5 \\ y=5\sqrt{x-5}+5 \\ \therefore The\text{ transformed function can be rewritten as:} \\ y=5\sqrt{x-5}+5 \end{gathered}$

The parent function is

$y=5\sqrt{x}$

The parent function was then translated horizontally to the right by 5units and also shifted up by 5units to obtain the equation.

$y=5\sqrt{x-5}+5$

Hence, the correct o