what is an exponential equation that has a y intercept of 4

Answer 1

An exponential equation could by y = a•b^x and since the y axis (y-intercept) is when x = 0, we would have:

y = a•b⁰

Since anything (except zero) raised to the zero power = 1, then b⁰ = 1 so

y = a•1

If we want the y-intercept to be 4 then a = 4 so:

y = 4•b^x

It doesn't matter what you pick for "b", all of these are exponential equations with y-intercepts of 4:

y = 4•2^x

y = 4•3^x

y = 4•4^x

y = 4•5^x

y = 4•(1/2)^x

So you can pick whatever you want