91Ó°ÊÓ

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

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 $y=f\left(x\right)$.

Thus, the function whose graph is the reflection of the graph of $y=\left|x\right|$ in the x-axis is $y=-\left|x\right|.$

The given graph is a reflection in the x-axis of the graph of the function$y=\left|x\right|$but it is vertically stretched by a factor of$2.$

When the right side of a function $y=f\left(x\right)$ is multiplied by a positive number a, the graph of the new function $y=af\left(x\right)$ is obtained by multiplying each y-coordinate on the graph of $y=f\left(x\right)$ by a. The new graph is a vertically stretched $(ifa>1)$version of the graph of $y=f\left(x\right).$

Since the graph is vertically stretched by factor of $2.$

The function of the given graph is$y=-2\left|x\right|$that matched to option L.