Subjects algebra

Reflected Parabola 73925E

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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.