Chapter 2.5, Problem 75AYU

To determine

To sketch:The graph of $y={\left(x-c\right)}^2$ for $c=0,3,-2$ .

Explanation of Solution

Graph:

Graph of the family of parabola $y={\left(x-c\right)}^2$ for $c=0,3,-2$ are traced in same set of axes as shown:

  

The graph of $y={\left(x-3\right)}^2$ can be obtained by shifting the graph of $y=x^2$ , 3 units rightand the graph of $y={\left(x+2\right)}^2$ can be obtained by shifting the graph of $y=x^2$ , 2 units left.