Chapter 11.4, Problem 30PE

(a)

To determine

To graph: The function $f\left(x\right)={\left(x+2\right)}^2$; tangent line at $-1$ with the help of transformations of a common graph to obtain the graph of $f$.

(b)

To determine

To calculate: The slope-intercept equation of the tangent line to the graph of $f\left(x\right)={\left(x+2\right)}^2$ at the point, for which x-coordinate is $-1$.

(c)

To determine

To graph: The tangent line to the graph of the function $f\left(x\right)={\left(x+2\right)}^2$ with the help of y-intercept and the slope.