Problem:
Which of the following equations have the same graph?
I.y=xβ2,II.y=x+2x2β4β,III.(x+2)y=x2β4
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=xβ2 is a line. The graph of y=x+2x2β4β is almost a line, but there is a point at x=β2 missing. The graph of (x+2)y=x2β4 is a pair of intersecting lines, x=β2 and y=xβ2.