# What is the vertex of y= -2(x-3)^2-1?

Feb 15, 2017

Vertex$\to \left(x , y\right) = \left(3 , - 1\right)$

#### Explanation:

When the quadratic equation is in this form you can almost read the coordinates of the vertex strait off. It just needs a little tweaking.

Suppose we wrote it as $y = a {\left(x + d\right)}^{2} + f$

Then the vertex $\to \left(x , y\right) = \left(- d , f\right)$
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Using the format of the above example we have:

Vertex$\to \left(x , y\right) = \left(3 , - 1\right)$