(a).

The curve equation is and the point is .

The curve equation is .

Apply derivative on each side with respect to .

.

.

.

at the point .

Normal line is perpendicular to tangent line.

Slope of the tangent lineSlope of the Normal line is equal to .

The slope of the normal line is .

Slope of the normal line is .

Point Slope form of line equation is .

Substitute and in the point slope form.

The normal line equation at the point and slope .

.

.

Normal line equation is .

(b)

Graph :

Graph the curve equation .

Graph the normal line equation is .

(c)

The normal line of the equation of the is .

Substitute in the equation .

and .

Substittue in the function .

The another point is .

(a) Normal line equation is .

(b)

Graph of the curve equation and the normal line equation is .

(c) The another point is .