SOLUTION: Write an equation for each parabola described below. Then draw the graph. vertex (5,1) focus (5, 5/4) Could you show me the steps and process to get the answer?

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write an equation for each parabola described below. Then draw the graph. vertex (5,1) focus (5, 5/4) Could you show me the steps and process to get the answer?      Log On


   

Question 752969: Write an equation for each parabola described below. Then draw the graph.
vertex (5,1)
focus (5, 5/4)
Could you show me the steps and process to get the answer?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation for each parabola described below. Then draw the graph.
vertex (5,1)
focus (5, 5/4)
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Plot the vertex and the focus.
Note that the focus is above the vertex so
the parabola opens up.
Form: (x-h)^2 = 4p(y-k)
p is the distance from the vertex to the focus:
p = 5/4 - 1 = 1/4
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Equation:
(x-5)^2 = 4(1/4)(y-1)
y-1 = (x-5)^2
y = (x-5)^2 + 1
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graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%28x-5%29%5E2%2B1%29
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Cheers,
Stan H.