Problem:
Which of the following equations have the same graph?
I.y=x−2,II.y=x+2x2−4​,III.(x+2)y=x2−4
Answer Choices:
A. I and II only
B. I and III only
C. II and III only
D. I, II and III
E. None. All the equations have different graphs
Solution:
The graph of y=x−2 is a line. The graph of y=x+2x2−4​ is almost a line, but there is a point at x=−2 missing. The graph of (x+2)y=x2−4 is a pair of intersecting lines, x=−2 and y=x−2.
