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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

31-48 Finding the Equation of a Parabola Find an equation for the parabola that has its vertex at the origin and satisfies the given condition(s).

Open downward with focus 10 units away from the vertex.

To determine

To find:

The equation for the parabola that has its vertex at the origin and the open downward with focus 10 units away from the vertex

Explanation

Given:

The vertex is V(0,0).

Approach:

The general equation for a parabola with a vertical axis having the vertex at the origin and the focus F(0,p) is as follows.

x2=4py …… (1)

Here, p is the distance from the origin.

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

The parabola opens to the right, if p>0 or to the left if p<0.

Calculation:

Here, the focus is 10 units from the vertex V(0,0)

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Chapter 12 Solutions

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