Question

5. For a given function ƒ(x) = x^5, a translation in the positive y-direction of two units is represented by which of the following?

options:
A) ƒ(x + 2) = (x + 2)^5

B) ƒ(x + 2) = ( x – 2)^5

C) ƒ(x) – 2 = x^5 – 2

D) ƒ(x) + 2 = x^5 + 2

Answer 1

Explanation:

D) ƒ(x) + 2 = x^5 + 2

Answer 2

`\huge \boxed{\mathrm{Option \ D}}`

Explanation:

`f(x)+k`

Is the formula for upward vertical translation.

`f(x)-k`

Is the formula for downward vertical translation.

Where
`k` is the units being translated.

Translation in the positive y-direction is upward vertical translation.

`k=2`

The translation is by 2 units.

The function becomes,

`f(x)+2`