# How do you find the maximum or minimum of #y-x^2+6=9x#?

##### 1 Answer

**The minimum is #(-4.5, -26.25)#**.

#### Explanation:

The maximum or minimum of a quadratic equation is the same as the vertex. First, we have to write the equation in standard form, or

To do this, let's make

To find the

Let's plug in the numbers:

To find the

Therefore, using the

(desmos.com)

Because in this situation the vertex is the smallest point of the graph, we know that is is a minimum.

As you can see, the vertex/minimum is indeed

Hope this helps!