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: