Help with exponential functions?

Question

i have two functions

1) y = 65.532e^(-0.1081x)+24

2) y = 63.163e^(-0.0634x)+24

i need to alter ONE using transformations so that they have equal starting positons on the y axis! (note: it must be a horizonal shift because the x variable is the only one i can change without affecting my data). i have tried everything but nothing works. could someone please help??

Answer 1

y = 65.532e^(-0.1081x)+24 ...(1)

y = 63.163e^(-0.0634x)+24 ...(2)

Amending x in (2) to x - h:

y = 63.163e^(- 0.0634(x - h)) + 24 ...(3)

Equating the values of y from (1) and (3) when x = 0:

65.532 = 63.163e^(0.0634h)

e^(0.0634h) = 65.532 / 63.163

0.0634h = ln(65.532 / 63.163)

h = 0.5808.