How do you find the formula of an exponential graph given (0, -2) and (2, -50)?

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Answer 1 · 2015-11-08T19:53:42

Use this model: #y=ab^x#, now solve for a and b:

#y=ab^x#

Insert the x and y values into the model:

#-2=ab^0=a#

So, now we know that the coefficient #a=-2#

#-50=(-2)(b^2)#

Solving for coefficient b ...

#b=5#

Finally, insert both coefficients back into the model:

#y=(-2)(5^x)#

enter image source here

hope that helped