To determine

To draw: A diagram showing two perpendicular tangent lines to the parabola that intersect on the y-axis.

Answer

The two perpendicular tangent lines to the parabola that intersect on the y-axis at the point (0,−14)

Explanation

Given:

The parabola is y=x2.

Graph:

First, draw the graph of the given parabolic curve y=x2.

Then, draw two perpendicular tangent lines to the parabola that intersects on the y-axis as shown in Figure 1.

From Figure 1, it is observed that the two lines y=−x−14     and y=x−14 are the tangent to the curve y=x2 intersect on y-axis at the point (0,−14).