document.write( "Question 631604: Write an equation for a parabola with vertex (1,7) given the parabola opens upward and a=3...show all work \n" ); document.write( "

Algebra.Com's Answer #397752 by nerdybill(7384) $\"\"$ $\"About$

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Write an equation for a parabola with vertex (1,7) given the parabola opens upward and a=3...show all work
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\n" ); document.write( "Vertex form of a parabola is:
\n" ); document.write( "y = a(x-h)^2 + k
\n" ); document.write( "where (h,k) is the vertex
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\n" ); document.write( "Plug in given information:
\n" ); document.write( "y = 3(x-1)^2 + 7 (parabola in vertex form)
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\n" ); document.write( "Or, you can convert to \"standard form\"
\n" ); document.write( "y = 3(x-1)^2 + 7
\n" ); document.write( "y = 3(x-1)(x-1) + 7
\n" ); document.write( "y = 3(x^2-2x+1) + 7
\n" ); document.write( "y = 3x^2-6x+3 + 7
\n" ); document.write( "y = 3x^2-6x+10 (parabola in standard form)
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