Answer
The graph of $y=x^{2}$ (black, see image below)
- is shifted up 2 units to produce the graph of $y=x^{2}+2$ (red)
- is shifted up 4 units to produce the graph of $y=x^{2}+4$ (blue)
- is shifted down 2 units to produce the graph of $y=x^{2}-2$ (green)
We predict that
- shifting the graph of $y=x^{2}$ DOWN 4 UNITS produces $y=x^{2}-4$
- shifting the graph of $y=x^{2}$ UP 5 UNITS produces $y=x^{2}+5$
Work Step by Step
The answer contains all necessary steps.
