Answer:
C
Explanation:
Given y = f(x) then y = f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Thus (x - 5)² is a shift to the right of 5 units
Given y = f(x) then y = f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Thus
y = (x - 5)² + 6
is the graph of y = x² translated 6 units up and 5 units to the right → C