f(x) = x² + 5 (option A)
Step-by-step explanation:
f(x) = x²
The function shifted up 5 units means we are doing a vertical translation of 5 unit
A vertcal translation is in the form:
f(x) + d (if moving up)
f(x) - d (if moving down)
d = number of movements
d= 5
The translation of f(x) becomes:
f(x) = x² + 5 (option A)