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

##### 1 Answer

#### Explanation:

The given equation

is in standard form:

where

Here is a graph of the given equation:

graph{x^2/4 - x - 4 [-8.55, 11.45, -6.72, 3.28]}

The vertex form for a parabola of this type is:

where

We know that "a" in the standard form is the same as the vertex form, therefore, we substitute

To find the value of

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

Substitute 2 for

To find the value of k, we evaluate the given equation at

Substitute -5 for

Here is a graph of the vertex form:

graph{1/4(x-2)^2-5 [-8.55, 11.45, -6.72, 3.28]}

Please observe that the two graphs are identical.