What is the effect on the graph of the parent function f(x) = x when f(x) is replaced with f(x) + 5? a) shifts the line 5 units up b) shifts the line 5 units down c) increases the slope of the line by a factor of 5 d) decreases the slope of the line by a factor of 5

Step-by-step explanation:

This question shouldn't be asked this way. Any change like that should be reflected on both sides. This way makes the question ambiguous.

I'm going to let the graph answer the question for you

The red line is f(x) + 5 = x

The blue line is f(x) = x

You will notice that the red line is 5 units below the blue line. So the answer is B.

You could look at this another way

f(x) = x - 5 when 5 is subtracted from both sides.

Notice the minus sign. It means that the line has been shifted down.

Slope has nothing to do with it. C and D are both incorrect for that reason.