Find the standard form of the equation of the parabola with a focus at (7, 0) and a directrix at x = -7.
2 answers:
<u><em>Answer:</em></u>
y^2 = 28x
<em><u>Step-by-step explanation:</u></em>
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.
<em>y^2 = 28x</em>
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The answers are x=7 or x=-2
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or
x=5 -/2....x=-2
x=5 <u>+</u>
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