What is the standard form of the equation of the parabola with a directrix at x=-5 and a focus at (-6,7)?

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What is the standard form of the equation of the parabola with a directrix at x=-5 and a focus at (-6,7)?

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Answer 1 · 2018-08-06T08:01:41

${(y - 7)}^{2} = - 2 (x + 5.5)$ $(y-7)^2=-2(x+5.5)$

Explanation:

Given -

Focus $(- 6, 7)$ $(-6, 7)$
Directrix $x = - 5$ $x=-5$

Vertex $(- 5.5, 7)$ $(-5.5, 7)$

$a = 0.5$ $a=0.5$

Then the formula for the parabola is -

${(y - k)}^{2} = - 4 a (x - h)$ $(y-k)^2=-4a(x-h)$

${(y - 7)}^{2} = - 4 (0.5) (x + 5.5)$ $(y-7)^2=-4(0.5)(x+5.5)$

${(y - 7)}^{2} = - 2 (x + 5.5)$ $(y-7)^2=-2(x+5.5)$

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What is the standard form of the equation of the parabola with a directrix at x=-5 and a focus at (-6,7)?

1 Answer

Explanation:

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