Question

Let f(x) represent a function.

Which descriptions match the given transformations?

Drag and drop the answers into the boxes.

Answer 1

For
`f(x+(5)/(4))`,
`f(x)` is translated
`(5)/(4)` units left.

For
`f(x)-(5)/(4)`,
`f(x)` is translated
`(5)/(4)` units down.

Explanation:

The transformation of
`f(x)\rightarrow f(x+C)` means that the graph shift to left by C units if C is positive number and shifts to right by C units if C is a negative number.

The transformation of
`f(x)\rightarrow f(x)+C` means that the graph shifts up by C units if C is positive number and shifts down by C units if C is a negative number.

Here, in the transformation of
`f(x)\rightarrow f(x+(5)/(4)),C = (5)/(4)>0`, so, the function translates left by
`(5)/(4)` units.

Similarly, in the transformation of
`f(x)\rightarrow f(x)-(5)/(4),C = -(5)/(4)<0`, so, the function translates down by
`(5)/(4)` units.