Use technology to determine an appropriate model of the data. (0,1), (1,-2), (2,-3), (3,-2), (4,1)

options:
• f(x) = -(x+2)^2 + 3
• f(x) = (x+2)^2 +3
• f(x) = -(x-2)^2 -3
• f(x) = (x-2)^2 - 3

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

answer: youre the sweetest thing for that