rocomath
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Precal
f(x)=-4x^2+4x \rightarrow f(x)=a(x-h)^2+k
f(x)=-4(x^2-x)
f(x)=-4\left[x^2-x+\left(\frac 1 2\right)^2-\left(\frac 1 2\right)^2\right]
f(x)=-4\left[x^2-x+\left(\frac 1 2\right)^2-\frac 1 4\right]
f(x)=-4\left[x^2-x+\left(\frac 1 2\right)^2\right]+1
f(x)=-4\left(x-\frac 1 2\right)^2+1
f(x)=-4x^2+4x \rightarrow f(x)=a(x-h)^2+k
f(x)=-4(x^2-x)
f(x)=-4\left[x^2-x+\left(\frac 1 2\right)^2-\left(\frac 1 2\right)^2\right]
f(x)=-4\left[x^2-x+\left(\frac 1 2\right)^2-\frac 1 4\right]
f(x)=-4\left[x^2-x+\left(\frac 1 2\right)^2\right]+1
f(x)=-4\left(x-\frac 1 2\right)^2+1
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