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1992 AMC 12 Question 14

AMC12 · 1992 AMC 12

Question 14

Which of the following equations have the same graph? $$
\begin{aligned} &\text{I. }y=x-2\\ &\text{II. }y=\dfrac{x^2-4}{x+2}\\ &\text{III. }(x+2)y=x^2-4 \end{aligned}
$$
  1. $\mathrm{I}$ and $\mathrm{II}$ only
  2. $\mathrm{I}$ and $\mathrm{III}$ only
  3. $\mathrm{II}$ and $\mathrm{III}$ only
  4. $\mathrm{I},$ $\mathrm{II}$ and $\mathrm{III}$
  5. None. All the equations have different
    graphs