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

1 Answer
Nov 8, 2015

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

Explanation:

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