# What is the vertex form of #y=4x^2-17x+60 #?

##### 1 Answer

Mar 18, 2016

#### Answer:

Complete the square:

The vertex is

#### Explanation:

We can convert by completing the square on the first two terms, but first we need to have a "1" in front of the x-squared.

A standard form of parabola is:

The vertex form for the same equation is:

Where the point

Add (b/2)^2 to complete the square

The -289/16 is necessary to balance out the 4(289/64) that we added.

Factor the parentheses and find an LCD to add the 60 and -289/16