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

Algebra ->  Algebra  -> Polynomials-and-rational-expressions -> SOLUTION: Consider the function f(x)=x^2+6x-2. a) Find h, the x-coordinate of the vertex of this parabola.       Log On

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 Click here to see ALL problems on Polynomials-and-rational-expressions 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(28476)   (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)