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?

   Hint (a):

   Where is the line of symmetry?

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

   Hint (b):

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

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

   Hint (c):

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