Q. 36 - Precalculus Enhanced with Graphing Utilities

Question

In Problems 27– 40, use transformations of the graph of $y=x^4$ or $y=x^5$ to graph each function. Verify your results using a graphing utility.

$f\left(x\right)={\left(x+2\right)}^4-3$

Step-by-Step Solution

Answer

The graph is obtained shift by 2 units left and then 3 units down of the graph $f\left(x\right)=x^4$

Step 1. Given Information

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

Step 2. Draw the graph of f x = x 4

Step 3. Draw the graph of f x = x + 2 4

Move the graph of $f\left(x\right)=x^4$, 2 units left

Step 4. Draw the graph of f x = x + 2 4 - 3

Shift the graph of $f\left(x\right)={\left(x+2\right)}^4$, three units down