Examples of Math Problems: Write an equation for the parabola whose vertex is at (2,6) and which passes through (4,-4)

Thursday, June 6, 2013

Write an equation for the parabola whose vertex is at (2,6) and which passes through (4,-4)

h=2
k=6
x=4
y=-4
%0D%0Ay=a%2A%28x-h%29%5E2%2Bk%0D%0A

%0D%0Ay=a%2A%28x-h%29%5E2%2Bk%0D%0A

becomes

%0D%0A-4=a%2A%284-2%29%5E2%2B6%0D%0A

so a=-5/2

so we get
%0D%0Ay=%28-5%2F2%29%2A%28x-2%29%5E2%2B6%0D%0A

%0D%0Ay=%28-5%2F2%29%2A%28x-2%29%5E2%2B6%0D%0A

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