ANSWER and EXPLANATION
(A) f(x) - 3
=> y-intercept
The y-intercept of f(x) is f(0). This implies that the y-intercept of f(x) - 3 is f(0) - 3.
In other words, the y-intercept is 3 units less than the y-intercept of the original function, since the function is translated 3 units downward.
=> Regions where the graph is increasing and decreasing
The region where the function f(x) increases and decreases do not change since the function is only translated and there is no change in the size of the figure.
=> End behavior
The end behavior of the graph doe not change as well because there is no change in the form or size of the graph, it is only translated
(B) -2 * f(x)
=> y-intercept
The y-intercept of