Answer :

Answer:

g(x) = (x + 5)²

Step-by-step explanation:

given the graph of f(x), then f(x ± a) is a horizontal translation of f(x)

• If - a, then a shift to the right of a units

• If + a, then a shift to the left of a units

Here f(x) has its vertex at (0, 0 ) and g(x) at (- 5, 0 )

g(x) is the graph of f(x) shifted 5 units to the left , thus

g(x) = (x + 5 )²