# How do you write the quadratic in vertex form given #y=3x^2-12x+4#?

##### 1 Answer

May 20, 2018

#### Explanation:

vertex form is

To solve this you have to complete the square with the x terms:

first isolate the x terms:

so we need to factor out 3 so a = 1:

now add the c to both sides, remember on the left side we need to multiply c by 3 since we are pulling out of the factor on the right:

now solve for c:

and put it into our equation and complete the square:

finally isolate the y:

given this form we know the vertex is

graph{y=3x^2-12x+4 [-8.05, 11.95, -8.84, 1.16]}