Cubic equation that has been transformed from the parent function with a vertical compression, reflected over the y-axis and shifted up.

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Step-by-step explanation:

Let the cubic function be

First transformation: Vertical compression

Let the scale factor be a where

The new function becomes:

Next: Reflection over y-axis

The rule is:

The new function becomes:

Lastly: Shifted up

Let the units up be b

The rule is:

So, the new function becomes:

Using the rules states above, assume the cubic function is:

Vertical compress by

Reflect over y-axis

Rule:

Solving f'(-x)

So:

Lastly: Shift by 3

Rule:

Solving: f"(x + 3)

Substitute x + 3 for x

So:

y=mx+b

step-by-step explanation:

m is slope, b is y-intercept