# What is the vertex form of # f(x) = -2x^2+7x-12 #?

##### 1 Answer

Mar 25, 2017

Given the standard form of a parabola:

The vertex form is:

Please see the explanation for the conversion process.

#### Explanation:

Given the specific equation in standard form:

Here is the graph:

graph{-2x^2+7x-12 [-26.5, 38.46, -33.24, 0.58]}

Comparing with the standard form:

You obtain the value of "a" by observation:

To obtain the value of h, use the equation:

To obtain the value of k, evaluate the function at

Substituting these values into the vertex form: