Again, let $f(x) = x^2\text{.}$ This problem involves both vertical and horizontal translations of the graph of $f\text{.}$ The graph above shows the function $$y = f(x + h) + k = (x + h)^2 + k$$ where $h$ and $k$ are constant numbers. You can use the sliders to change the values of $h$ and $k\text{,}$ and observe how the graph changes.

1. Change $h$ so the function is $y = (x + 4)^2\text{.}$
   How did this change the original graph?
   Answer: The graph of $y = x^2$ moved ? right 4 units left 4 units
2. Change $h$ and $k$ so the function is $y = (x - 5)^2 - 4\text{.}$
   How did this change the original graph?
   Answer: The graph of $y = x^2$ moved ? right 5, and down 4 right 5, and up 4 left 5, and down 4 left 5, and up 4