A Student Thinks That the Graphs of the Equations $$\frac { x ^ { 2 } } { 36 } - \frac { y ^ { 2 } } { 36 } = 1 \text { and } \frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 36 } = 1$$

question 12

Essay

A student thinks that the graphs of the equations $$\frac { x ^ { 2 } } { 36 } - \frac { y ^ { 2 } } { 36 } = 1 \text { and } \frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 36 } = 1$$ are identical. Is the student correct? Explain.

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