SOLUTION: Use the equation of the exponential function whose graph passes through the points (0,-2) and (2,-50) to find the value of y when x=-2.

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Question 42239: Use the equation of the exponential function whose graph passes through the points (0,-2) and (2,-50) to find the value of y when x=-2.
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Use this form: y+=+a%28b%5Ex%29
y+=+a%28b%5Ex%29 use (0,-2)
-2+=+a%28b%5E0%29 anything to the zero power is one except for zero
-2+=+a
so ....
y+=+-2%28b%5Ex%29
-50+=+-2%28b%5E2%29 use (2,-50)
25+=+%28b%5E2%29
5+=+b
so ....
y+=+-2%28%285%29%5Ex%29
so ....
y+=+-2%28%285%29%5E%28-2%29%29
y+=+-2%281%2F%285%29%5E%282%29%29
y+=+-2%281%2F%2825%29%29
y+=+-2%2F25