# How do you rewrite into vertex form #f(x)=4x^2-16x+5#?

##### 1 Answer

Nov 14, 2016

Please see the explanation.

#### Explanation:

The vertex form for a parabola that opens or down is:

f(x) = a(x - h)^2 + k

Please observe that, in the given equation,

Factor 4 out of the first 3 terms and group them with ()s:

We can find the value of h by setting the middle term equal to -2hx:

We know that three terms inside the ()s is equal to