Question

The graph shows g(x) = x2 − 9x + 20. graph of parabola falling from the left, passing through 3 comma 2 to about 4 and one half comma negative one fourth, and rising to the right, passing through 6 comma 2 What are the x-intercepts of g(x)? (4.5, 0) and (5, 0) (0, 4.5) and (0, 5) (0, 5) and (0, 4) (5, 0) and (4, 0)

Answer 1

Answer: (5, 0) and (4, 0)

Work Shown:

g(x) = 0

x^2-9x+20 = 0

(x-5)(x-4) = 0

x-5 = 0 or x-4 = 0

x = 5 or x = 4

The x intercepts are 5 and 4, which locates them at (5,0) and (4,0) respectively. This is where the parabola crosses the x axis.