### Home > CCA2 > Chapter 5 > Lesson 5.2.2 > Problem 5-80

Consider the equation .

*5-80 HW eTool*(Desmos). Homework Help ✎

Explain completely how to get a good sketch of the graph of

.Graph

but shift the graph 6 units to the left and 7 units down.Explain how to change the graph from part (a) to represent the graph of

.It would move up 9 units.

Given the original graph, how can you get the graph of

? Substitute

into the new, absolute value equation and into the original. How do the outputs differ?All the points that had negative

*y*-values will now have positive*y*-values.Restrict the domain of the original parabola to

and graph its inverse function.The inverse function is now an

parabola with its vertex at. For the inverse, . Why?What would be the equation for the inverse function if you restricted the domain to

?Interchange

andin the original equation and solve for.Use the eTool below to explore the graphs needed to solve the parts of the problem.

Click the link to the right for full version.*CCA2 5-80 HW eTool*