Consider ; what is the new equation for if it is shifted up 6 units, shifted right 9 units, shifted down 4 units, shifted left 10 units, shifted down 2 units, and then shifted right 1 unit?
@ This is definitional.
a.
b.
c.
d. It is still
Suppose you were in downtown Chicago, and you walked:
North 6 blocks, East 9 blocks, South 4 blocks, West 10 blocks,
South 2 blocks, and East 1 block. where would you be?
Answer: Right back where you started!
This problem is similar.
The graph is shifted:
up 6 units,
right 9 units,
down 4 units,
left 10 units,
down 2 units,
right 1 unit.
Get the vertical shifts together:
If you go up 6, down 4, and down 2, you're back where you started,
so there is no net vertical change.
Get the horizontal shifts together:
If you go right 9, left 10, and right 1, you're also back where
you started, so there is no net horizontal change.
So there is no change at all.
The answer is d. So you didn't need any shifting rules!
Edwin