SOLUTION: Find a value a>0 so that the graph of the exponential function f(x)=ax^2 contains the points (2, 1/4).

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Question 1187184: Find a value a>0 so that the graph of the exponential function f(x)=ax^2 contains the points (2, 1/4).
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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Find a value a > 0 so that the graph of the exponential function f(x) = ax^2 contains the points (2, 1/4).
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You need to have  f(2) = 1/4,  or  a%2A2%5E2 = 1%2F4.


From this equation,  a = 1%2F%284%2A4%29 = 1%2F16.


ANSWER.  The value of "a" must be  1%2F4.

Solved, answered and explained.