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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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Chapter
Section
BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

(a) Give the geometric definition of a parabola.

(b) Give the equation of a parabola with the vertex at the origin and with vertical axis. Where is the focus? What is the directrix?

(c) Graph the equation x 2 = 8 y

To determine

(a)

To find:

The geometric definition of a parabola.

Explanation

Approach:

A parabola is the set of points in the plane that are equidistant from a fixed point F (the focus) and a fixed line l (the directrix). The geometric representation of the parabola is shown below.

Here, F is the focus, l is the directrix

To determine

(b)

To find:

The equation of a parabola with the vertex at the origin and with a vertical axis. Also, find the focus and the directrix of the parabola.

To determine

(c)

To sketch:

The graph of the equation x2=8y.

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Chapter 12 Solutions

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