SOLUTION: consider the function f(x)=x^2+6x-2. find h, the x-coordinate of the vertex of this parbola. Substitute the two intergers immediately to the left of h and two intergers immediatel

Question 404569: consider the function f(x)=x^2+6x-2. find h, the x-coordinate of the vertex of this parbola. Substitute the two intergers immediately to the left of h and two intergers immediately to the right of h into the function to find the corresponding y values. Fill in the table below, make sure your x-values are in increasing orders in your table. x y there are 5 boxes under each of these. In the 4th box under x is h=____. I have to graph this so any help with that too will be greatly appreciated. Thanks abunch.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The x-coordinate of the vertex of a parabola is at
, where the equation is in the form:

In the given equation:

Now plug this back into equation to get

So the vertex is at the point h = (-3,-11)
-------------------
I'm not sure what the table is supposed to look like.
It sounds like they want
(-3,-11) (vertex)
(-4, f(-4))
(-5,f(-5))
(-6,f(-6))
etc., and, in the (+) direction from the vertex:
(-2, f(-2))
(-1,f(-1))
(0,f(0))
(1,f(1))
etc.
Here's a plot of the equation. Maybe you can
figure out the table.

RELATED QUESTIONS
Consider the function f(x) = x^2 +6x - 2 Find h, the x-coordinate of the vertex of this... (answered by jim_thompson5910)

consider the function: f(x)= x^2+6x-2. Find h, the x-coordinate of the vertex of this... (answered by bucky)

consider the function f(x) = X^2 - 6x + 2. Find h, the x-coordinate of the vertex of... (answered by scott8148)

consider the function f(x)=x^2-6x+2 find h the x-coordinate of the vertex of this... (answered by jim_thompson5910)

Consider the function f(x)=x^2+6x-2 a) Find h, the x-coordinate of the vertex of this (answered by solver91311)

Consider the Function {{{f(x)=x^2+6x-2}}} Part A. Find h, the x-coordinate of the... (answered by nabla)

Consider the function f(x)=x^2-6x+2 Find h, the x-coordinate of the vertex of this... (answered by stanbon)

Please help with the following problem. Consider the function f(x)=x^2+6x-2. Find h,... (answered by jim_thompson5910,KnightOwlTutor)

Consider the function f(x)=x^2+6x-2. a) Find h, the x-coordinate of the vertex of... (answered by jim_thompson5910)