How do you rewrite y=3x224x+10 in vertex form?

1 Answer
Jul 15, 2017

The vertex form is y=3(x4)238

Explanation:

The vertex form of a parabola is

y=a(xh)2+k

Here, we have

y=3x224x+10

y=3(x28x)+10

We complete the square by adding half of the coefficient of x squared and substract this value.

y=3(x28x+1616)+10

y=3(x28x+16)+1048

y=3(x4)238

The vertex is =(h,k)=(4,38)

graph{3(x-4)^2-38 [-42.64, 39.6, -46.42, -5.33]}