Chapter 8.1, Problem 38PS

To determine

(a)

To sketch:

The graph of equations $y=x^2$, $y={\left(x-2\right)}^2+3$, $y={\left(x+4\right)}^2-2$, and $y={\left(x-6\right)}^2-4$ on the same set of axes by using graphic calculator.

To determine

(b)

To sketch:

The graph of equations $y=x^2$, $y=2{\left(x+1\right)}^2+4$, $y=3{\left(x-1\right)}^2-3$, and $y=\frac{1}{2}{\left(x-5\right)}^2+2$ on the same set of axes by using graphic calculator.

To determine

(c)

To sketch:

The graph of equations $y=x^2$, $y=-{\left(x-4\right)}^2-3$, $y=-2{\left(x+3\right)}^2-1$, and $y=-\frac{1}{2}{\left(x-2\right)}^2+6$ on the same set of axes by using graphic calculator.