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

6-80.
  1. Consider the equation y = (x + 6)2 − 7. 6-80 HW eTool (Desmos). Homework Help ✎

    1. Explain completely how to get a good sketch of the graph of y = (x + 6)2 − 7.

    2. Explain how to change the original graph to represent the graph of y = (x + 6)2 + 2.

    3. Given the original graph, how can you get the graph of ?

    4. Restrict the domain of the original parabola to x ≥ −6 and graph its inverse function.

    5. What would be the equation for the inverse function if you restricted the domain to x ≥ −6?

Graph a regular y = x2, 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.
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