Question

Can you help me with this

Answer 1

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