What is the equation that is represented by the graph below?

answer:

c) the x-coordinate of the center of the circle increases by 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:

the answer to this would be 5x^3-6x^2-24 over 3x^2

hope this if needed hmu