Where does the graph of x2 - x - 2 = y cross the x-axis?

A) (2, 0) and (-1, 0)

B) (0, 2) and (0, - 1)

C) (1, 2) and (2, - 1)

D) (-2, 0) and (-1, 0)

X²-x-2=y

When the line crosses the x-axis, y==0:

x²-x-2=0

(x-2) (x+1) = 0 Factored

x-2=0 Find x

x+1=0

x=2,-1

Plug x value (s) into the original equation

x²-x-2=y

(2) ²-2-2=y

y=0 (2,0)

(-1) ² - (-1) - 2=y

y = 0 (-1,0)

Thus the solutions is A