Reflected Parabola 73925E
1. The problem states that we have a parabola passing through the points $(-2,9)$, $(-1,3)$, $(0,1)$, $(1,3)$, and $(2,9)$. We want to create a table of values for the function reflected over the x-axis.
2. Reflecting a function over the x-axis means changing each $y$ value to its opposite, i.e., $y \to -y$.
3. Original points and their $y$ values:
- $(-2, 9)$
- $(-1, 3)$
- $(0, 1)$
- $(1, 3)$
- $(2, 9)$
4. Reflecting over the x-axis, the new points become:
- $(-2, -9)$
- $(-1, -3)$
- $(0, -1)$
- $(1, -3)$
- $(2, -9)$
5. The table of values modeling the reflected function is:
| x | y |
|----|----|
| -2 | -9 |
| -1 | -3 |
| 0 | -1 |
| 1 | -3 |
| 2 | -9 |
Final answer: The reflected function's table of values is as above.