document.write( "Question 72742This question is from textbook Algebra and Trigonometry
\n" ); document.write( ": What is the equation of the parabola: Vertex at (2,-3): focus at (2, -5)? I really don't understand where in the equation the focus and vertex would be placed. Thank you. \n" ); document.write( "
Algebra.Com's Answer #52013 by stanbon(75887)\"\" \"About 
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What is the equation of the parabola: Vertex at (2,-3): focus at (2, -5)? I really don't understand where in the equation the focus and vertex would be placed. Thank you.
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\n" ); document.write( "Plot the two points so you can see which way the parabola opens.
\n" ); document.write( "Vertex at (2,-3) and focus to the left at (2,-5) indicates it
\n" ); document.write( "opens to the left.
\n" ); document.write( "So the general form for the equation is (y-k)^2=4p(x-h)
\n" ); document.write( "Since the vertex is at (2,3) h=2 and k=3
\n" ); document.write( "Since the distance from the vertex to the focus is -3, 4p=-3 and p=-3/4\r
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\n" ); document.write( "So the equation is (y+3)^2=4(-3/4)(x-2)
\n" ); document.write( "-3(x-2)=(y+3)^2
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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