Could someone answer/explain these? Thank you!



f(x) + n - shift a graph n units up
f(x) - n - shift a graph n units down
f(x + n) - shift a graph n units left
f(x - n) - shift a graph n units right
1.
[tex]f(x)=x^2\\f(x+6)=(x+6)^2-\text{shift the graph 6 units left}\\f(x+6)-9-\text{shift thr graph 9 units down}[/tex]
Answer: D) Shift the graph of y = x² left 6 units and then down 9 units.
2.
Look at the picture.
The graph f (x) has been shifted 3 units left. Therefore your answer is:
[tex]b)\ f(x+3)[/tex]
3.
The graph f (x) has been shifted 1 unit down. Therefore your answer is:
[tex]f(x)-1\to\text{d) none of the above}[/tex]