Write an exponential function for the graph that passes through the points (0,4) and (2, 36). Use the formula y=ab^x​

Question

Write an exponential function for the graph that passes through the points (0,4) and (2, 36). Use the formula y=ab^x​

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Orla Orla 5 years 2021-09-01T07:31:30+00:00 1 Answers 127 views 1

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  1. Jezebel
    0
    2021-09-01T07:32:52+00:00
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    Answer:

    Using the equation y = abx , substitute both of your given points into that equation.

    2 = ab2 and 4 = ab3   Solve each equation for a.

    2⁄b2    and 4⁄b3 = a     Therefore, 2⁄b2 = 4⁄b3

                                       

    Cross multiply: 2b3 = 4b2     Divide both sides by b2

    2b = 4      a = 2/4 = 1/2

    b = 2

    y = 1 (2)x

         2

    Step-by-step explanation:

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