Question: Match each graph with its equation. a. \( y = -2^x \) b. \( y = 2^x \) c. \( y = -2^{-x} \)…

Match each graph with its equation.

a. \( y = -2^x \) b. \( y = 2^x \) c. \( y = -2^{-x} \) d. \( y = 2^{-x} \)

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Solution

Step 1 Graph 1 is an upward-opening parabola. \[ y = x^2 \] Thus, Graph 1 matches with equation B. Step 2 Graph 2 is an increasing exponential curve. \[ y = 2^x \] Thus, Graph 2 matches with equation D. Step 3 Graph 3 is a downward-opening parabola. \[ y = -x^2 \] Thus, Graph 3 matches with equation A. Step 4 Graph 4 is a decreasing exponential curve. \[ y = -2^x \] Thus, Graph 4 matches with equation C.