Question

For a given function ƒ(x), the translation ƒ(x – 2) + 3 means the function will shift

Question 6 options:

A)

right 2 and upward 3.

B)

right 3 and upward 2.

C)

left 3 and downward 2.

D)

left 2 and downward –3.

Answer 1

right 2 and upward 3.

Step-by-step explanation: I took the test

Answer 2

A

Explanation:

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Then f(x - 2) represents a shift to the right of 2 units

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Then f(x - 2) + 3 is shift to the right of 2 and up by 3 units