   Chapter 12.CR, Problem 56E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

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

# 55-64 ■ Find the Equation of the Conic Find an equation for the conic section with the given properties.The parabola with vertex at the origin and focus F ( 5 , 0 ) .

To determine

To find:

An equation for the parabola with vertex at origin and focus F(5,0).

Explanation

Given:

The vertex and focus of the parabola are O(0,0) and F(5,0) respectively.

Approach:

Distance between vertex and focus is the value of p. The standard equation of a parabola is y2=4px.

Calculation:

Distance between vertex O(0,0) and focus F(5,0) is 5, so the value of p=5.

Since the vertex of the parabola is origin, so the parabola is passing through the origin

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