# To draw: The two tangent lines to parabola that passes through the point ( 0 , − 4 ) .

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 3.1, Problem 57E
To determine

## To draw: The two tangent lines to parabola that passes through the point (0,−4).

Expert Solution

The coordinates of the points (2,4) and (2,4).

### Explanation of Solution

Given:

The equation of the parabola is, y=x2 and the point is (0,4).

Graph:

First, draw the graph of the given parabolic curve, y=x2. Then, plot the point (0,4) on the graph.

Draw two lines passes through the point (0,4) such that one of the lines touches the left side of the parabolic curve and the other line touches the right side of the parabolic curve as shown in Figure 1.

From Figure 1, it is observed that the two tangent lines intersects the parabola at the points (2,4) and (2,4).

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