Question

Translate the following function 2 units upward and 6 units to the left. f(x) = |x + 5| + 2

A) f(x) = |x + 5| + 2
B) f(x) = |x + 7| - 4
C) f(x) = |x + 11| + 4
D) f(x) = |x - 1| + 4

Answer 1

To translate the function 2 units upward and 6 units to the left, we need to subtract 6 from the input value and add 2 to the output value. The translated function is f(x) = |x - 1| + 4.

Step-by-step explanation:

To translate the function 2 units upward and 6 units to the left, we need to subtract 6 from the input value and add 2 to the output value. The translated function is given by f(x) = |x - 1| + 4. Option D represents the correct translation.