first quartile of this data set is 13
11, 12, 13, 15, 17, 19, 22, 24, 29, 33, 38
First we find the median for the given set of numbers
Median is the middle number
19 is the median of the set of numbers
First quartile is the median of the set of numbers below 19
third quartile is the median of the set of number above 19
11, 12, 13, 15, 17
Median of 11, 12, 13, 15, 17 is 13
So first quartile of this data set is 13
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.