Question

Write the new function if the parent function f(x) = 12x - 8 is translated 5 units up.

a. g(x) = 12x - 3
b. g(x) = 12x + 8
c. g(x) = 12x - 13
d. g(x) = 12x + 3

Answer 1

To translate the parent function f(x) = 12x - 8 up by 5 units, we need to add 5 to the function. This will result in g(x) = 12x - 3.

Step-by-step explanation:

To translate the parent function f(x) = 12x - 8 up by 5 units, we need to add 5 to the function. This will result in g(x) = 12x - 8 + 5, which simplifies to g(x) = 12x - 3. Therefore, the correct answer is a. g(x) = 12x - 3.