Answer:
B
Step-by-step explanation:
The vertex of the original function is (0, 0 )
The vertex of the translated function is (- 1, 5 )
Given f(x) then f(x + a) represents 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
The translated graph has been shifted 1 unit left, thus
f(x) = (x + 1)²
Given f(x) then f(x) + c represents 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
The translated graph has been shifted 5 units up, thus
f(x) = (x + 1)² + 5 ← equation of translated function
