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

y = f(x) so f(x) is the same as y. When we write f(x)+3, we mean y+3. Each y value will have 3 added to it. That shifts every point up 3 units.

Answer: Choice A) shifts the line 3 units up

Answer 2

its A because f(x)=x is basically y=x so the the answer would be A because it moves up 3 on the y axis.