SHOW UR SOLUTIONS PLS, pls i need it right now Transform each quadratic function into the form f(x) = a (x – h) 2 + k

[SOLVED] SHOW UR SOLUTIONS PLS, pls i need it right now Transform each quadratic function into the form f(x) = a (x – h) 2 + k
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Accepted Answer

Answer:Q1. [tex]f(x) = 4x^{2} -16x+21[/tex]              [tex]=4(x^{2} -4x)+21\\\\=4[(x-2)^{2} -2^{2}] +21\\\\=4(x-2)^{2} - 4+21\\\\= 4(x-2)^{2} +17\\[/tex]Q2. [tex]f(x) = -x^{2} -6x-9\\[/tex]               [tex]=x^{2} +6x+9\\\\=[(x+3)^{2}-3^{2}] +9\\\\= (x+3)^{2} -9+9\\\\= (x+3)^{2}[/tex]Q3. [tex]y=\frac{1}{2}x^{2} -x+1[/tex]          [tex]=\frac{1}{2} (x^{2} -2x)+1\\\\= \frac{1}{2} [(x-1)^{2} - 1^{2}] +1\\\\= \frac{1}{2} (x-1)^{2} -1+1\\\\= \frac{1}{2}(x-1)^{2}[/tex]

Suggested Answer

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