Chapter 8.1, Problem 36PS

To determine

(a)

To sketch:

The graph of equations $y=x^2$, $y=2x^2$, $y=3x^2$, and $y=4x^2$ on the same set of axes by using graphic calculator.

To determine

(b)

To sketch:

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

To determine

(c)

To sketch:

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