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Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7.

User EBarr
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2 Answers

3 votes

Answer:

y^2 = 28x

Explanation:

Since the directrix is horizontal, use the equation of a parabola that opens left or right.

(y−k)^2 = 4p(x−h)

Find the vertex.

(0,0)

Find the distance from the focus to the vertex.

p = 7

Substitute in the known values for the variables into the equation

(y−k)^2 = 4p(x−h).

(y−0)^2 = 4(7)(x−0)

Simplify.

y^2 = 28x

Find the standard form of the equation of the parabola with a focus at (7, 0) and-example-1
User Deividi Cavarzan
by
7.4k points
2 votes

Answer:

x = - 1/28 y^2

Explanation:

User Paco Zevallos
by
8.5k points

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