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 $f(x+\frac{1}{4})$. According to rules, this is $f(x)$ translated $\frac{1}{4}$ units left
2. The second function given is $f(x)+\frac{1}{4}$. According to rules, this is $f(x)$ translated $\frac{1}{4}$ units up

ANSWER:

1. $f(x)$ is translated $\frac{1}{4}$ units left.

2. $f(x)$ is translated $\frac{1}{4}$ units up.