Question

Graph$f\left(x\right)={(x-3)}^4-2$using transformations.

Short answer

The final graph is

Step-by-step solution

Step 1. Given Information

The given function is$f\left(x\right)={(x-3)}^4-2$

Step 2. Explanation

The given function is of degree 4. To transform this function into a graph first consider the simple function with degree 4.

Replace the term x in the function by $x-3$and graph the function. The graph will be shifted to the right by 3 units.

Step 3. Explanation

Subtract 2 from the term to get the required function. Then graph of the above function will be shifted down by 2 units.