Please help with the numbers for part 2 left and right of H?

Question

Thank You. Consider the function .?
Consider the function .?
f(x)=x^2-8x+12
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

Answer 1

h is always given by

h = -b/(2a)
a = coefficient of x^2
b = coefficient of x

so in this case, h = 8 / (2*1) = 4

your table then looks like
x | y
-----
2 | 0
3 | -3
4 | -4
5 | -3
6 | 0

note: to find the corresponding y-values, you plug in the appropriate value of x into the function
e.g. f(2) = 2^2 - 8*2 + 12 = 4 - 16 + 12 = 0

hope this helps.

Answer 2

a) h = -(-8)/2 = 4

b)
x ... y
3 ... -3
4 ... -4
5 ... -3