document.write( "Question 932894: derive all the properties of a quadratic function y=4x^2-3x+2?
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Algebra.Com's Answer #566439 by ewatrrr(24785)\"\" \"About 
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y =ax^2 + bx + c = a(x -(-b/2a)^2) - a(-b/2a)^2 + c
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\n" ); document.write( "y=4x^2-3x+2
\n" ); document.write( "-b/2a = -(-3)/2*4 = 3/8
\n" ); document.write( "y = 4(x- 3/8)^2 - 4(9/64) + 2
\n" ); document.write( "y = 4(x- 3/8)^2 - 9/16 + 2
\n" ); document.write( "y = 4(x- 3/8)^2 + 23/16
\n" ); document.write( "Parabola opening Upward: a = 4 > 0 and x = 3/8 the Line of Symmetry
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\n" ); document.write( "V(3/8, 23/16)
\n" ); document.write( "4 = 1/4p, p = 1/16
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\n" ); document.write( "F(3/8, 24/16)
\n" ); document.write( "Directrix is y = 22/16
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\n" ); document.write( "the vertex form of a Parabola opening up(a>0) or down(a<0),
\n" ); document.write( "\"y=a%28x-h%29%5E2+%2Bk\"
\n" ); document.write( "where(h,k) is the vertex and x = h is the Line of Symmetry ,
\n" ); document.write( "the focus is (h,k + p), With Directrix y = (k - p), a = 1/(4p)\r
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