Question

Let f(x) represent a function.

Which descriptions match the given transformations?

Drag and drop the answers into the boxes

Answer 1

In translating functions, these rules follow:

Horizontal Translation:

• 
  `f(x+a)` is a translation of
  `f(x)` a units left
• 
  `f(x-a)` is a translation of
  `f(x)` a units right

Vertical Translation:

• 
  `f(x)+a` is a translation of
  `f(x)` a units up
• 
  `f(x)-a` is a translation of
  `f(x)` a units down

1. The first function given is
   `f(x+(1)/(4))`. According to rules, this is
   `f(x)` translated
   `(1)/(4)` units left
2. The second function given is
   `f(x)+(1)/(4)`. According to rules, this is
   `f(x)` translated
   `(1)/(4)` units up

ANSWER:

1.
`f(x)` is translated
`(1)/(4)` units left.

2.
`f(x)` is translated
`(1)/(4)` units up.