# What is the vertex form of #y=1/3x^2+1/4x-1#?

##### 1 Answer

#### Explanation:

The given equation :

Is in the standard form:

where

The desired vertex form is:

The "a" in equation [2] is the same value as the "a" in equation [3], therefore, we make that substitution:

The x coordinate of the vertex, h, can found be using the values of "a" and "b" and the formula:

Substituting in the values for "a" and "b":

Substitute the value for h into equation [4]:

The y coordinate of the vertex, k, can be found by evaluating equation [1] at

Substitute the value for k into equation [5]: