Chapter 10: Q. 11 (page 699)

In problems $11 - 18$ , find an equation of the conic described. Graph the equation by hand.
Parabola; focus at $(- 2, 0)$ ; directrix the line $x = 2$

Short Answer

Expert verified

The equation of the parabola is $y^{2} = - 8 x$

Step by step solution

Step 1. Given Information

The focus is at $(- 2, 0)$ and the directrix line is $x = 2$

Step 2. Calculation

Since the directrix line is $x = 2$ which is parallel to the y-axis then the equation of parabola having focus at $(- 2, 0)$ is

$y^{2} = - 4.2 . x$

Step 3. Final answer

Equation of parabola is $y^{2} = - 8 x$

Step 4. Graph

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In problems $11 - 18$ , find an equation of the conic described. Graph the equation by hand.
Parabola; focus at $(- 2, 0)$ ; directrix the line $x = 2$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

Step 3. Final answer

Step 4. Graph

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In problems11-18, find an equation of the conic described. Graph the equation by hand.Parabola; focus at(-2,0); directrix the linex=2

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

Step 3. Final answer

Step 4. Graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Discrete Mathematics

Theoretical and Mathematical Physics

Logic and Functions

Geometry

Mechanics Maths

Study anywhere. Anytime. Across all devices.

In problems $11 - 18$ , find an equation of the conic described. Graph the equation by hand.
Parabola; focus at $(- 2, 0)$ ; directrix the line $x = 2$