# How do you find the vertex and intercepts for #y² - 4y - 8x +25 = 0#?

##### 1 Answer

Vertex is

#### Explanation:

First reorder to get one of the variables (in this case x) on its own.

Then use completing the squares to get the expression into the form

The vertex occurs where the bracketed term is zero and is therefore

The x intercept occurs where

The y intercepts occur where

This shows that there are no real roots to the equation, only imaginary ones.