Answer:
f(x) = (x + 2)² - 3
Explanation:
given f(x) then f(x ± a) is a horizontal translation of f(x)
• if + a , then a shift left of a units
• if - a , then a shift right of a units
note the vertex of f(x) = x² is (0, 0 )
here the graph's vertex has been shifted 2 units to the left , then
(x + 2)²
given f(x) then f(x) ± c is a vertical translation of f(x)
• if + c then a shift up of c units
• if - c then a shift down of c units
here the graph's vertex has been shifted 3 units down
then
f(x) = (x + 2)² - 3