Recall that the function represented by the graph of the function h(x) reflected over the x-axis is:
[tex]-h(x)\text{.}[/tex]
Also, recall that the graph represented by the graph of the function h(x) translated n units up is:
[tex]h(x)+n\text{.}[/tex]
Therefore, the function represented by the graph of
[tex]y=x^2[/tex]
after a reflection over the x-axis followed by a translation of n units up is:
[tex]y=-x^2+8.[/tex]
Using the commutative property of addition we get:
[tex]y=8-x^2\text{.}[/tex]
Answer: Second option.
