# What is the vertex of the parabola #y=-x^2-2x+3#?

##### 1 Answer

#### Explanation:

There is a lovely and straightforward (which makes it all the lovelier) rule for working out vertices such as this one.

Think of the general parabola:

The formula for finding the

Using your question

In this case:

#a=-1#

#b=-2# ; and

#c=3# .

To find the

#=(-(-2))/(2*(-1))=2/(-2)=-1#

So we now know that the

To find the

#y=-x^2-2x+3#

#y=-(-1)^2-2*(-1)+3#

#y=-1+2+3#

#y=4#

We now know that the

#(-1,4)#