Question

Determine the new value for f(x) when the function is translated (moved) 3 units up, given f(x) values for x = -2, -1, 0, and 1.

Answer 1

The new value of f(x) when the function is translated 3 units up is f(x) + 3 for each x value given.

Step-by-step explanation:

When a function f(x) is translated 3 units up, the value of f(x) at each x is simply increased by 3. This is a vertical shift that affects the y-values of the function, but the x-values remain unchanged. Therefore, to determine the new values for the function after the translation:

• For x = -2, the new value is f(-2) + 3.
• For x = -1, the new value is f(-1) + 3.
• For x = 0, the new value is f(0) + 3.
• For x = 1, the new value is f(1) + 3.

To get the specific numerical values, you would substitute the original f(x) values into these expressions.