For a function f at a value x = a, the normal line of f at a is the equation of the line t...

For a function f at a value x = a, the normal line of f at a is the equation of the line that is perpendicular to the tangent line at x = a. In Exercise, a function f and a value a are given.

Complete the following.

(a) Determine the equation of the tangent line at x = a. Call this line y1.

---

(b) Determine the equation of the normal line at a. Recall from algebra that perpendicular lines have negative reciprocal slopes. Call this line y2.

---

(c) Graph f along with the lines y1 and y2 in the same viewing window.