### Home > INT3 > Chapter 7 > Lesson 7.1.1 > Problem7-14

7-14.

Consider the function $y = 3\left(x + 2\right)^{2} – 7$ as you complete parts (a) through (c).

1. How could you restrict the domain to show “half” of the graph?

Where is the line of symmetry?

2. What is the equation for the inverse function for your “half” graph?

Rewrite the equation in $x =$ form then switch $x$ and $y$.

3. What are the domain and range for the inverse function?

Remember the relationship between the domain and range of the original and the domain and range of the inverse.