We have been given a graph of the function f(x). Now question says to sketch the following functons
Answer 3.a):
f(x+2)
we know that f(x+h) shifts the graph h units left.
So f(x+2) will shift the graph 2 units left.
Answer 3.b):
f(x-5)
we know that f(x-h) shifts the graph h units right.
So f(x-5) will shift the graph 5 units right.
Answer 3.c):
f(x)+2
we know that f(x)+h shifts the graph h units up.
So f(x)+2 will shift the graph 2 units up.
Answer 3.d):
f(x)-5
we know that f(x)-h shifts the graph h units down.
So f(x)-5 will shift the graph 5 units down.
Check attached picture for the graph of each part.
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In 2nd problem we just need to take 4 times of given x-values from original table as you can see in attached picture