SOLUTION: Consider the function f(x)=x^2+6x-2. a) Find h, the x-coordinate of the vertex of this parabola.

Question 115515: Consider the function f(x)=x^2+6x-2.
a) Find h, the x-coordinate of the vertex of this parabola.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
a)
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:

From the equation we can see that a=1 and b=6

Plug in b=6 and a=1

Multiply 2 and 1 to get 2

Reduce

So the axis of symmetry is which means

Lets evaluate

Start with the given polynomial

Plug in

Raise -3 to the second power to get 9

Multiply 6 by -3 to get -18

Now combine like terms

So the vertex is (-3,-11)
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