91Ó°ÊÓ

There is the given graph we have to match each graph to its functions.

The given graph is similar to the graph of $y=x^2$ but it is reflection of the function in the x-axis and it is shifted horizontally to the left by $2$units.

When the right side of the function $y=f\left(x\right)$is multiplied by $-1$the graph of the new function $y=-f\left(x\right)$ is the reflection about the x-axis of the graph of the function $y=f\left(x\right).$

Hence the function whose graph is the reflection of the graph of$y=x^2$in thex-axis is$y=-x^2.$

If the argument x of a function f is replaced by $x+h,h>0,$the graph of the new function $y=f(x+h)$ is the graph of f shifted horizontally left hunits.

Since the graph of $y=-x^2$is shifted horizontally to the left by $2$units.

The graph of the function is $y=-{(x+2)}^2$that matched to option F.