Answer
The graph of $y=x^{2}$ (black)
- is shifted to the right 2 units to produce the graph of $y=(x-2)^{2}$ (red)
- is shifted to the right 4 units to produce the graph of $y=(x-4)^{2}$ (blue)
- is shifted to the left 2 units to produce the graph of $y=(x+2)^{2}$ (green)
We predict that
- shifting the graph of $y=x^{2}$ to the LEFT 4 UNITS produces $y=(x+4)^{2}$
- shifting the graph of $y=x^{2}$ to the RIGHT 5 UNITS produces $y=(x-5)^{2}$
Work Step by Step
The answer contains all necessary steps.
