Question

Question 2

2 pts
(09.02)
In the function f(x) = 4(x2 - 6x +_) +20, what number belongs in the blank to complete the square?
(2 points)

Answer 1

9

Explanation:

you want the trinomial (x*x - 6x + __ ) to be written as a binomial squared.

So we would need to realize that the constant would be equal to (-6/2)^2 =(-3)^2 = 9

We have completed the square.

f(x) = 4*( x - 3)^2 + 20 is now in Vertex Form