Consider the function?

Question

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

b) Substitute the two whole number values immediately to the left and right of h into the function to find the corresponding y. Fill in the table below. Make sure your x-values are in increasing order in your table.
x y

h=

Answer 1

y=x^2+6x-2=(x+3)^2-9-2
y=(x+3)^2-11 -- (1)
y+11=(x+3)^2
vertex(-3,-11) h=-3
-4 left of h : y=(-4+3)^2-11=-10
0 right of h: y=(0+3)^2-11=-2
x---- y
-4 -10
0 -2
h=-3

Answer 2

a) h = -3.

b) Do your own arithmetic.