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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

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

49-58 ■ Finding the Equation of a Parabola Find an equation of the parabola whose graph is shown.

Chapter 12.1, Problem 53E, 49-58  Finding the Equation of a Parabola Find an equation of the parabola whose graph is shown.

To determine

To find:

The equation for the parabola of given figure.

Explanation

Given:

The equation of the parabola whose graph is shown below

Approach:

The general equation for a parabola with a horizontal axis having the vertex is

y2=4px …… (1)

Here, p is the distance from the origin and the vertex is V(0,0).

The focus is F(p,0) and the directrix line is x=p

The parabola opens to the upward if p>0 or to the downward if p<0.

Calculation:

From the given figure,

The vertex is V(0,0) and the focus of the parabola is F(p,0)

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Chapter 12 Solutions

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