Find the y=a(b)^x form for the exponential function passing through points (1,48) and (3,12)

y = 96 * (1/2)ˣ   or

y = (-96)*(-1/2)ˣ

Step-by-step explanation:

y=a(b)ˣ

pass (1 , 48):  48 = a * b¹        ab = 48   ...(1)

pass (3 , 12):   12 = a * b³       ab³ = 12   ...(2)

(2)/(1):   ab³/ab = b² = 12/48 = 1/4

b = 1/2 or b = - 1/2

a = 96  or a = -96