# 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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 Algebra: Conic sections - ellipse, parabola, hyperbola Solvers Lessons Answers archive Quiz In Depth

 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)   (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 --------------- Vertex Form for a parabola: (x-h)^2 = 4p(y-k) vertex at (0,0) means h = k = 0 ---------------------- You now have x^2 = 4py --------------------- focus at (0,4) means the distance from vertex to focus = 4 p = 4 4p = 16 -------------- EQUATION: 16y = x^2 y = (1/16)x^2 ----------------- =============== Cheers, Stan H.