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Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643

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BuyFindarrow_forward

Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643
Textbook Problem

Find an equation for the conic that satisfies the given conditions.

31. Parabola, vertex (0, 0), focus (1, 0)

To determine

To Find: The equation for the conic using the vertex (0,0) and focus (1,0) of the parabola.

Explanation

Given:

Vertex is (0,0) and focus is (1,0) of the parabola.

Calculation:

The focus of the parabola is like (p,0) . So, the focus is located at x axis.

Take the value of p as 1 . Then the condition p>1 is true.

Refer to the above focus condition, the equation of the conic is y2=4px .

The vertex of the parabola (h,k) is (0,0)

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