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What is the equation of a parabola with a vertex at (0, 0) and a directrix x = -4?

A. y equals negative one-sixteenth times x squared
B. x equals negative one-sixteenth times y squared
C. x equals one-sixteenth times y squared
D. y equals one-sixteenth times x squared

Respuesta :

The general form for this is Β y^2 = 4ax Β  where a = focus

the directrix is same distabce behind the vertex as focus is in font so focus Β  a = 4

so we have y^2 = 16 xΒ 
orΒ 
x = (1/16) y^2

Its Β C

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