Question

D.g(x) = - 2

9
Which equation for g(x) represents the transformation of f(x) given that f(x) = x^2
g(x) = f(x) shifted up 2 units
i have more translation of quadratics questions i need some help on so if you’re willing let me know

Answer 1

g(x) = x² + 2

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