# What is the vertex of # y=1/2x^2 +2x - 8 #?

##### 1 Answer

Nov 14, 2015

The vertex of a quadratic curve is the point where the slope of the curve is zero.

#### Explanation:

=>

=>

Now the slope of the quadratic curve is given by

Thus, at the vertex ( as mentioned earlier ),

Therefore

Or

The corresponding y coordinate can be obtained by substituting

=>

=>

=>

This the required vertex is: