Question

After reflecting and shifting, what is the final form of the function if it's also moved 3 units down?

a. |x - 2| - 3
b. |x + 2| - 3
c. |x - 2| + 3
d. |x + 2| + 3

Answer 1

The correct final form of the function after reflecting and shifting it 3 units down is option a. |x - 2| - 3.

Step-by-step explanation:

To find the final form of the function after reflecting and shifting it 3 units down, we need to look at the options given. We know that shifting a function downward means subtracting a constant value from the original function. Since the function is enclosed in absolute value signs, the negative sign inside the absolute value will not affect the shifting.

So, the correct answer would be option a. |x - 2| - 3. This option reflects the function about the x-axis (vertical reflection), shifts it 2 units to the right, and then shifts it downward by 3 units.