Question

Write an exponential equation of a function that passes through the
points (0,4) and (2,64).

Answer 1

Y +Y1 = M (x + x1)
Y + 4 = M (X+ 0)
Y+4= Mx + 0
-4. -4
Y = Mx + 4

Answer 2

64=ab²

4=ab⁰

Divide both systems:

16=b²

4=b

a(b)²=64

a=64/16=4

y=4(4)^x

y=4^x+1