# How do you find the vertex and the intercepts for #y= 2x^2 - 4x + 7#?

##### 1 Answer

The vertex is (1,5) and there are no real intercepts.

#### Explanation:

The x-coordinate of the vertex can be found using

So 1 would be the x-coordinate of the vertex. You would then plug this in for x in the original equation:

To find the intercepts it would be best to use quadratic formula:

When we solve under the square root we can already see that we will get