SOLUTION: The question is... F(x)=x^2+6x-2 Find h, the x-coordinate of the vertex of this parabola..

Algebra ->  Graphs -> SOLUTION: The question is... F(x)=x^2+6x-2 Find h, the x-coordinate of the vertex of this parabola..      Log On


   

Question 115688: The question is... F(x)=x^2+6x-2 Find h, the x-coordinate of the vertex of this parabola..
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To find h, we first need to find the axis of symmetry (ie the x-coordinate of the vertex)
To find the axis of symmetry, use this formula:

x=-b%2F%282a%29

From the equation y=x%5E2%2B6x-2 we can see that a=1 and b=6

x=%28-6%29%2F%282%2A1%29 Plug in b=6 and a=1


x=%28-6%29%2F2 Multiply 2 and 1 to get 2



x=-3 Reduce


So the axis of symmetry is x=-3 which means h=-3