   Chapter 12.CR, Problem 62E ### 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 ■ Finding the Equation of a Conic Find an equation for the conic section with the given properties.The parabola with vertex V ( 5 , 5 ) and directrix the y -axis.

To determine

To find:

The equation for the conic section.

Explanation

Given:

The parabola with vertex V(5,5) and directrix the y axis.

Approach:

The equation of parabola with horizontal axis is given by:

(yk)2=4p(xh).

The equation of the directrix is xh=p.

Calculation:

Vertex is V(5,5), so h=5, k=5.

The directrix is x=0, so p=5.

The equation of hyperbola is

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