Chapter 1.4, Problem 53E

(a)

To determine

To graph: The function, $y=1-{\left(x-2\right)}^2$, by using graphing utility.

(b)

To determine

The approximate $x\text{-intercepts}$ of the curve of the function, $y=1-{\left(x-2\right)}^2$, by using the graph.

(c)

To determine

To calculate: The roots of the obtained equation by putting $y=0$ in the function, $y=1-{\left(x-2\right)}^2$.

(d)

To determine

The comparison between part (c) and $x\text{-intercepts}$ of the graph.