Q. 84 - Precalculus Enhanced with Graphing Utilities

Question

Repeat Problem $83$ for the family of parabolas $y=x^2+c$.

Step-by-Step Solution

Answer

The graph for the parabolas when $c=0,c=-2,c=3$ is,

Step 1 Given equation is, y = x 2 + c .

Given values are, $c=0,-2,3$.

Substitute $c=0$ in the equation.

$y=x^2$.

Substitute $c=-2$ in the equation.

$y=x^2-2$.

Substitute $c=3$ in the equation.

$y=x^2+3$.

Step 2 Now graph the parabolas for the given c values.