### Home > A2C > Chapter 6 > Lesson 6.2.2 > Problem 6-80

Consider the equation

*y*= (*x*+ 6)^{2}− 7. 6-80 HW eTool (Desmos). Homework Help ✎Explain completely how to get a good sketch of the graph of

*y*= (*x*+ 6)^{2}− 7.Explain how to change the original graph to represent the graph of

*y*= (*x*+ 6)^{2}+ 2.Given the original graph, how can you get the graph of

? Restrict the domain of the original parabola to

*x*≥ −6 and graph its inverse function.What would be the equation for the inverse function if you restricted the domain to

*x*≥ −6?

Graph a regular *y* = *x*^{2}, but place its vertex at (−6, −7).

It would move vertically upwards.

Remember the meaning of absolute value.

Remember how to find the inverse of a function.

See part (d).

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. A2C 6-80 HW eTool