Analyzing f(x) Using Precalculus

[rocomath]

Precal

$$f(x)=-4x^2+4x \rightarrow f(x)=a(x-h)^2+k$$

$$f(x)=-4(x^2-x)$$

$$f(x)=-4\left[x^2-x+\left(\frac 1 2\right)^2-\left(\frac 1 2\right)^2\right]$$

$$f(x)=-4\left[x^2-x+\left(\frac 1 2\right)^2-\frac 1 4\right]$$

$$f(x)=-4\left[x^2-x+\left(\frac 1 2\right)^2\right]+1$$

$$f(x)=-4\left(x-\frac 1 2\right)^2+1$$

 

[symbolipoint]

Good