Chapter 2.2, Problem 2ED

(a) Graph $y=A{x}^2\text{for }A=1,4\text{ and }\frac{1}{4}$ simultaneously in the same coordinate system.

(b) Graph $y=A{x}^2\text{for }A=-1,-4\text{ and }-\frac{1}{4}$ simultaneously in the same coordinate system.

(c) Describe the relationship between the graph of $h\left(x\right)=x^2$ and the graph of $G\left(x\right)=A{x}^2$ for any real number $A$.