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.

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

Short 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-by-step solution

Step 1. Given Information

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

Step 2. Draw the graph of fx=x4

Step 3. Draw the graph of fx=x+24

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

Step 4. Draw the graph of fx=x+24-3

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