# Describe the Transformation 3/2(x^3-2)

Write the polynomial as an equation.
The parent function is the simplest form of the type of function given.
Simplify .
Apply the distributive property.
Combine and .
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
For a better explanation, assume that is and is .
The transformation being described is from to .
The horizontal shift depends on the value of . The horizontal shift is described as:
– The graph is shifted to the left units.
– The graph is shifted to the right units.
In this case, which means that the graph is not shifted to the left or right.
Horizontal Shift: None
The vertical shift depends on the value of . The vertical shift is described as:
– The graph is shifted up units.
– The graph is shifted down units.
Vertical Shift: Down Units
The graph is reflected about the x-axis when .
The graph is reflected about the y-axis when .