(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 .