Let ; what happens to if we now have ?
a)It shifts 3 units to the left
b)It shifts 3 units down
c)It shifts 3 units to the right
d)It shifts 3 units up
Rules for shifting and reflecting:
If we had R(x+3), the shift in R(x) would be 3 units to the left.
If we had R(x-3), the shift in R(x) would be 3 units to the right.
If we had R(-x), the graph R(x) would be reflected in the y-axis.
If we had -R(x), the graph R(x) would be reflected in the x-axis.
If we had R(x)+3, the shift in R(x) would be 3 units up.
If we had R(x)-3, the shift in R(x) would be 3 units down.
So the answer is b).
Edwin