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)#

Given -

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

Vertex #(-5.5, 7)#

#a=0.5#

Then the formula for the parabola is -

#(y-k)^2=-4a(x-h)#

#(y-7)^2=-4(0.5)(x+5.5)#

#(y-7)^2=-2(x+5.5)#

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