Which transformations turn the graph of f(x) = (0.75)^x into the graph of f(x) = (0.75)^(x+4) - 2?

a. 4 units left and 2 units down
b. 4 units left and 2 units up
c. 4 units up and 2 units down
d. 4 units up and 2 units up

Express in the simplest form: (x^2+9x+14/x^2-49) / (3x+6/x^2+x-56)

The table below represents the displacement of a fish from its reef as a function of time: time (hours) x displacement from reef (feet) y 0 4 1 64 2 124 3 184 4 244 part a: what is the y-intercept of the function, and what does this tell you about the fish? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points) part c: what would be the domain of the function if the fish continued to swim at this rate until it traveled 724 feet from the reef? (2 points)

What rotation was applied to triangle def to create d’e’f’?