Question

A function$f$is given, and the indicated transformations are applied to its graph (in the given order). Write an equation for the final transformed graph.

$f\left(x\right)=x^3$; shift upwardlocalid="1645434957438" $5$units

Short answer

The transformed equation is$f\left(x\right)=x^3+5$

Step-by-step solution

Step-1. Concept of transformation in upward or downward direction.

Adding a constant to a function shifts the graph upward or downward if the constant is positive or negative respectively.

Step-2. Given Problem.

Given that,

$f\left(x\right)=x^3$; shifts upward localid="1645434976931" $5$units

Step-3. Determining the transformed equation.

Here,$5$is a constant which is shifted upward

So, the transformed equation is

$f\left(x\right)=x^3+5$