# What is the vertex of #x – 4y^2 + 16y – 19 = 0#?

##### 1 Answer

Oct 22, 2017

Vertex

#### Explanation:

This is a quadratic in

As the coefficient of

Write as

Now write as

Normally I would use the cheat of

However in this case we have

Note that this is part of the process of completing the square.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

So by substitution for

Vertex