document.write( "Question 592032: The vertex of the parabola below is at the point (4, 6.5)
\n" ); document.write( "and the point (5, 4.5) is on the parabola.
\n" ); document.write( "What is the equation of the parabola?\r
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\n" ); document.write( "\n" ); document.write( "a. y=-2.5(x+2)^2+4.5
\n" ); document.write( "b. x=-2(y-4)^2+6.5
\n" ); document.write( "c. y=-2(x-4)^2+6.5
\n" ); document.write( "d. y=-2(x-4)^2+6.5\r
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Algebra.Com's Answer #375832 by lwsshak3(11628)\"\" \"About 
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The vertex of the parabola below is at the point (4, 6.5)
\n" ); document.write( "and the point (5, 4.5) is on the parabola.
\n" ); document.write( "What is the equation of the parabola?
\n" ); document.write( "**
\n" ); document.write( "Standard form of equation for a parabola: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex.
\n" ); document.write( "y=A(x-4)^2+6.5
\n" ); document.write( "Solving for A using coordinates of given point (5,4.5)
\n" ); document.write( "4.5=A(5-4)+6.5
\n" ); document.write( "4.5=A(1)+6.5
\n" ); document.write( "A=-2
\n" ); document.write( "Equation: y=-2(x-4)^2+6.5
\n" ); document.write( "answers are c and d which are duplicates.
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