Q:

HELP PLZ! I do not understand this!! Let f(x) represent a function.Which descriptions match the given transformations?Drag and drop the answers into the boxes.f(x+1/3) <--------------------->f(x)−1/3 <--------------------->Answer Choices:f(x) is translated 1/3 units up.f(x) is translated 1/3 units left.f(x) is vertically compressed by a factor of 1/3.f(x) is translated 1/3 units right.f(x) is vertically stretched by a factor of 1/3.f(x) is translated 1/3 units down.

Accepted Solution

A:
PART 1
If I have graph f(x) then graph f(x + 1/3) would translate the graph 1/3 to the left.

For example, I have f(x) = x².Then
f(x + 1/3) = (x + 1/3)²

I draw the graph of f(x) = x² and the graph of f(x) =  (x + 1/3)² on cartesian plane to know what's the difference between them.


PART 2
If I have graph f(x) then graph f(x) + 1/3 would translate the graph 1/3 upper.

For example, I have f(x) = x².Then 
f(x) + 1/3 = x² + 1/3

I draw the graph of f(x) = x² and the graph of f(x) = x² + 1/3 on cartesian plane to know what's the difference between them.


SUMMARY
f(x+1/3) ⇒⇒ f(x) is translated 1/3 units left.
f(x) + 1/3 ⇒⇒ f(x) is translated 1/3 units up.