document.write( "Question 689215: How do I write an equation for a parabola whose vertex is (4,1) and passes through the point (2,13)? \n" ); document.write( "

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How do I write an equation for a parabola whose vertex is (4,1) and passes through the point (2,13)?Standard form of equation for a parabola:
\n" ); document.write( "(x-h)^2=4p(y-k), (h,k)=(x,y) coordinates of the vertex
\n" ); document.write( "plug in given coordinates of the vertex(4,1)
\n" ); document.write( "(x-4)^2=4p(y-1)
\n" ); document.write( "plug in coordinates of given point (2,13)
\n" ); document.write( "(2-4)^2=4p(13-1)
\n" ); document.write( "4=4p(12)
\n" ); document.write( "4p=4/12=1/3
\n" ); document.write( "equation of parabola:
\n" ); document.write( "(x-4)^2=(y-1)/3 \n" ); document.write( "

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