Question

In Problems 31– 42, graph each rational function using transformations.

$Q\left(x\right)=3+\frac{1}{x^2}$

Short answer

The graph of the function $Q\left(x\right)=3+\frac{1}{x^2}$is:

Step-by-step solution

Step 1. Given

The function$Q\left(x\right)=3+\frac{1}{x^2}$

To graph the function.

Step 2. Graph the parent function

Graph the basic function $y=\frac{1}{x^2}$

Step 3. Graph the function by shifting.

Replace $y=\frac{1}{x^2}$by

$y=3+\frac{1}{x^2}$by shifting vertically upward to $3$unit.