document.write( "Question 929218: Determine the quadratic function with the given information.
\n" ); document.write( "Given: vertex (3,-7) and y-intercept of -4
\n" ); document.write( "Answer in the form y=a(x-h)^2+k
\n" ); document.write( "

Algebra.Com's Answer #564164 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "Determine the quadratic function with the given information.
\n" ); document.write( "Given: vertex (3,-7) and y-intercept of -4
\n" ); document.write( "Answer in the form y=a(x-h)^2+k
\n" ); document.write( "

\n" ); document.write( "\"y+=+a%28x+-+h%29%5E2+%2B+k\" ------ Vertex form of parabolic equation
\n" ); document.write( "A y-intercept of - 4 signifies coordinate point, (0, - 4)
\n" ); document.write( "\"-+4+=+a%280+-+3%29%5E2+-+7\" ------ Substituting all given values in vertex form of paraoblic equation to determine the value of \"a\"
\n" ); document.write( "\"-+4+=+9a+-+7\"
\n" ); document.write( "9a = - 4 + 7
\n" ); document.write( "9a = 3
\n" ); document.write( "a = \"3%2F9\", or \"1%2F3\"
\n" ); document.write( "\"highlight_green%28y+=+%281%2F3%29%28x+-+3%29%5E2+-+7%29\" -------- Vertex form of parabolic equation, based on given info \n" ); document.write( "
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