# How do you find the vertex, x and y intercepts for #y=-2x^2+4x+6#?

##### 1 Answer

The vertex

x-intercepts are

The y-intercept is

#### Explanation:

To find the x intercepts you set the equation equal to zero and solve:

To solve it you you factor it out:

Now set both factors equal to zero and solve:

So, the x-intercepts are

To find the y-intercept its a bit easier you simply set the x-values equal to zero:

So, the y-intercept is

To find the vertex

Remember that

To find

Now to find

The vertex

As you can see by the graph below, we got the right answers.

graph{-2x^2+4x+6 [-8.68, 11.32, -0.485, 9.515]}