document.write( "Question 491703: how do you find the equation of the parabola whose vertex is (4,-11) and that passes through the points (-6,16) \n" ); document.write( "

Algebra.Com's Answer #334744 by stanbon(75887) $\"\"$ $\"About$

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how do you find the equation of the parabola whose vertex is (4,-11) and that passes through the points (-6,16)
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\n" ); document.write( "Form: y = a(x-h)^2 + k
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\n" ); document.write( "h = 4 and k = -11
\n" ); document.write( "y = 16 when x = -6
\n" ); document.write( "Solve for \"a\":
\n" ); document.write( "16 = a(-6-4)^2-11
\n" ); document.write( "16 = a(100) - 11
\n" ); document.write( "27 = 100a
\n" ); document.write( "a = 0.27
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\n" ); document.write( "Equation:
\n" ); document.write( "y = 0.27(x-4)^2-11
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\n" ); document.write( "Graph:
\n" ); document.write( " $\"graph%28400%2C400%2C-10%2C20%2C-10%2C15%2C0.27%28x-4%29%5E2-11%29\"$
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\n" ); document.write( "Chers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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