Question

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)

Answer 1

Answer: A

Explanation:

Answer 2

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