Question

What is the effect on the graph of the parent function f(x) = x when f(x) is replaced with f(x) + 3?
A) shifts the line 3 units up
B) shifts the line 3 units down
C) increases the slope of the line by a factor of 3
D) decreases the slope of the line by a factor of 3

Answer 1

Don't make the mistake of saying that the new function is up above the given function. f(x) + 3 is not above f(x) = x. f(x) + 3 is below f(x). 

The answer is B <<<<<=====

y + 3 = x is the way you can think of it.
y = x - 3 is what it is. If you have a graphing calculator, graph it. You want to see that it is below f(x) = x or going down.

Answer 2

Answer:

B) is your answer

Step-by-step explanation: