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

Algebra ->  Algebra  -> Graphs -> SOLUTION: consider the function: f(x)= x^2+6x-2. Find h, the x-coordinate of the vertex of this parabola.      Log On

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 Algebra: Graphs, graphing equations and inequalities Solvers Lessons Answers archive Quiz In Depth

 Question 116801: consider the function: f(x)= x^2+6x-2. Find h, the x-coordinate of the vertex of this parabola.Answer by bucky(2189)   (Show Source): You can put this solution on YOUR website!Given: . . This function is of the standard form: . . Recall the quadratic formula that says for a function of this form the solutions for x are: . . The first term on the right side (that is will give you the value for x at the vertex of the parabolic graph for . Comparing the given function with the standard form you can see that a in the standard form [the multiplier of the ] is +1 in the given problem, and b in the standard form [the multiplier of the ] is +6 in the given problem, and c (which we don't need) in the standard function is -2 in the given problem. . All you now have to do to solve this problem is plug the values for a and b into and you get that the value of x at the vertex is: . . So the answer to your problem is h = -3 . Here's the graph of the equation (shown in red) to help you validate the answer. The green line is a vertical line through the vertex. It shows you that the vertex has -3 as the value for its x: . . Hope this helps you to understand the problem a little better. .