Answer:
D
Explanation:
given f(x) then f(x ± a) is a horizontal translation of f(x)
• if - a , then a shift right of a units
• if + a, then a shift left of a units
the vertex of f(x) is at (0, 0 )
the vertex of g(x) is at (- 3, - 2 )
the graph of g(x) is the graph of f(x) shifted 3 units left , then
g(x) = (x + 3)² ← partial equation
given f(x) then f(x) ± c is a vertical translation of f(x)
• if - c , then a shift down of c units
• if + c, then a shift up of c units
the y- coordinates of the vertex of f(x) is shifted down by 2 units , then
g(x) = (x + 3)² - 2