# What is the vertex form of #y=5x^2 - 10x - 75 #?

##### 1 Answer

Dec 19, 2015

#### Explanation:

First, factor out the coefficient of

Next, complete the square on the expression inside the parentheses. Take the coefficient of

This trick makes the expression inside the parentheses a perfect square to get the final answer:

The graph of this function is a parabola opening upward with a minimum at the vertex