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Write the exponential equation that contains the points (−2,4)(−2,4)and (3,972)(3,972).(1 point)The equation is $$y=·.Check answerRemaining Attempts : 3

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Answered by GPT-5 mini AI
Use y = A·B^x. From (-2,4): 4 = A B^{-2} → A = 4B^2. From (3,972): 972 = A B^3 = 4B^2·B^3 = 4B^5 → B^5 = 243 = 3^5 → B = 3. Then A = 4·3^2 = 36.

So y = 36·3^x.