Answer:
see explanation
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then shift left by a units
• If a < 0 then shift right by a units
Thus g(x) = (x + 3)² is a shift left of 3 units
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then shift up by c units
• If c < 0 then shift down by c units
Thus g(x) = (x + 3)² - 5
represents a 3 unit shift to the left and a shift down of 5 units
