Question

Plot the y-intercept and the vertex of the following function:
g(x) = - x2 + 6x - 8
What is the smallest zero of the function?

Answer 1

g(x) = - x2 + 6x - 8
0 = -x^2 + 6x - 8
0 = -(x^2 - 6x + 8)
0 = x^2 - 6x + 8
0 = x^2 -4x - 2x + 8
0 = x(x-4)-2(x-4)
0 = (x-4)(x-2)
x = 2,4

Therefore, 2 is the smallest zero.

Answer 2

thank you! (:

Answer 3

yw :D