SOLUTION: PARABOLA: what's the vertex, focus, directrix, latus rectum and graph of the y^2+16x=0

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Question 1039252: PARABOLA: what's the vertex, focus, directrix, latus rectum and graph of the y^2+16x=0
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Put the equation into vertex form. Since the variable is squared, this is a parabola with a horizontal axis of symmetry and a vertical directrix. Vertex form for such a parabola is the equation solved for in terms of everything else.



Rewrite so that the elements of the vertex form are evident:



The general form of a parabola with a horizontal axis is:



Which is a parabola with a horizontal axis,

vertex at ,
parameter ,
directrix equation: ,
focus at ,
and latus rectum endpoints at .

I'll help you find the parameter :



The rest is just plugging in numbers.

John

My calculator said it, I believe it, that settles it