# How can you use the y-intercept and growth factor to write an equation that represents an exponential function? Explain

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Expert Answers

Borys Shumyatskiy | Certified Educator

Hello!

Exponential growth function has a form

`y=A*(1+r)^x,`

where A is the initial value and r is the growth rate.

If we substitute x=0 we obtain `y(0)=A*(1+r)^0=A.` Recall that y-intercept is the point on a graph where x=0. So A and the y-intercept are the same.

So the answer is: the y-intercept is the factor of the function and the growth rate plus one is the base of the exponential function..