express the function f( x)=-3/4x^2+15x-44?

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express in the form a(x-h)^2 + k

2007-10-22 07:19:05 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

(-3/4)*(x^2-20x) - 44
(-3/4)*(x^2-20x+100) + 75 - 44
(-3/4)*(x-10)^2 + 31

2007-10-22 07:24:32 · answer #1 · answered by mathguru 3 · 0⤊ 0⤋

= -(3/4)(x^2 -20x + 176/3)
= -(3/4)(x^2-20x +100 -124/3)
= -(3/4) (x-10)^2 +31

2007-10-22 14:30:11 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋