Answer:
g(x) = x² + 2
Step-by-step explanation:
If we want to shift a function down, we subtract the number we are asked to move outside the function's argument:
⇒ To shift f(x) b units down → f(x) - b
Similarly, in function notation, if we want to shift a function up, we add the number we are asked to move outside the function's argument:
⇒ To shift f(x) b units up → f(x) + b
Given function f(x) = x²
Shift 2 units up ⇒ x² + 2
Therefore, g(x) = x² + 2
