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
