Observe the graph:

The parent function is cubic function .

The graph appears to be shifted units to the right, shifted  units down, and  then reflected in the -axis.

The reflection causes the shift left to appear to be a shift right in the graph.

Therefore, we have .

The point is on the graph of .

Use the point to determine if there is a dilation.

.

But .

There is must be a dilation.

Let  represent the dilation and solve for .

.

The dilation is .

The function is .

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