40.4k views
4 votes
Rewrite y=sqrt(9x+45)-2 to make it easy to graph using a translation describe the graph

Rewrite y=sqrt(9x+45)-2 to make it easy to graph using a translation describe the-example-1

1 Answer

3 votes

\begin{gathered} y=√(9x+45)\text{ -2 Now we have to get the common factor inside the square root} \\ y=\text{ }√(9(x+5\rparen)\text{ - 2} \\ y=\text{ 3}\sqrt{x+5\text{ }}\text{ -2} \\ \end{gathered}

This means, it's the graph of:


y=\text{ 3}√(x)\text{ with a translation of 5 units to the left and 2 units down.}

Answer is option 2.

User Charaf JRA
by
3.4k points