Question

Could someone answer/explain these? Thank you!

Answer 1

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.

`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}`

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:

`b)\ f(x+3)`

3.

The graph f (x) has been shifted 1 unit down. Therefore your answer is:

`f(x)-1\to\text{d) none of the above}`