Question

Write an exponential equation in the form y = ab^x whose graph passes through points (4, 8) and (6, 32).

y = 4(8)x


y = 2(0.5)x


y = 0.5(2)x


y = (0.5)x

Answer 1

(1,4),(2,12)

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The form is y = ab^x

12 = ab^2

4 = ab^1

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Divide the 1st by the 2nd to get:

3 = b

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Substitute that into the 2nd equation to solve for "a":

4 = a*3^1

a=(4/3)

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EQUATION:

y = (4/3)*2^x

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Explanation: