document.write( "Question 946705: Write the standard form of the equation of the parabola that has the indicated vertex and passes through the given point. Vertex:(4, -1); point:(2,7) \n" ); document.write( "
Algebra.Com's Answer #577570 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "Write the standard form of the equation of the parabola that has the indicated vertex and passes through the given point. Vertex:(4, -1); point:(2,7)
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Vertex form of the equation of a parabola: \"y+=+a%28x+-+h%29%5E2+%2B+k\"
\n" ); document.write( "\"7+=+a%282+-+4%29%5E2+%2B+-+1\" ------ Substituting (4, - 1) for (h, k), and (2, 7) for (x, y)
\n" ); document.write( "7 = a(4) - 1
\n" ); document.write( "7 + 1 = 4a
\n" ); document.write( "8 = 4a
\n" ); document.write( "a = \"8%2F4\", or 2
\n" ); document.write( "Vertex form of the equation of this parabola: \"y+=+2%28x+-+4%29%5E2+-+1\"
\n" ); document.write( "\"y+=+2%28x%5E2+-+8x+%2B+16%29+-+1\"
\n" ); document.write( "\"y+=+2x%5E2+-+16x+%2B+32+-+1\"
\n" ); document.write( "Standard form of the equation of this parabola: \"highlight_green%28y+=+2x%5E2+-+16x+%2B+31%29\" \n" ); document.write( "
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