Chapter 2.2, Problem 1ED

Let $f\left(x\right)=x^2$.

(a) Graph $y=f\left(x\right)+k$ for $k=-4,0,\text{and}2$ simultaneously in the same coordinate system. Describe the relationship between the graph of $y=f\left(x\right)$ and the graph of $y=f\left(x\right)+k$ for any real number $k$.

(b) Graph $y=f\left(x+h\right)$ for $h=-4,0,\text{and}2$ simultaneously in the same coordinate system. Describe the relationship between the graph of $y=f\left(x\right)$ and the graph of $y=f\left(x+h\right)$ for any real number $h$.