SOLUTION: (a) What is the equation of a parabola with vertex (0,0) and the focus (0,4)? (b)DRAW its graph on a grid (a)_____________________ (b)_____________________ please help

Algebra ->  Algebra  -> Quadratic-relations-and-conic-sections -> SOLUTION: (a) What is the equation of a parabola with vertex (0,0) and the focus (0,4)? (b)DRAW its graph on a grid (a)_____________________ (b)_____________________ please help      Log On

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Question 93470This question is from textbook
: (a) What is the equation of a parabola with vertex (0,0) and the focus (0,4)?
(b)DRAW its graph on a grid
(a)_____________________
(b)_____________________ please helpThis question is from textbook

Answer by stanbon(57424) About Me  (Show Source):
You can put this solution on YOUR website!
(a) What is the equation of a parabola with vertex (0,0) and the focus (0,4)?
(b)DRAW its graph on a grid
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Vertex Form for a parabola: (x-h)^2 = 4p(y-k)
vertex at (0,0) means h = k = 0
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You now have x^2 = 4py
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focus at (0,4) means the distance from vertex to focus = 4
p = 4
4p = 16
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EQUATION:
16y = x^2
y = (1/16)x^2
-----------------
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%281%2F16%29x%5E2%29
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Cheers,
Stan H.