Question

The graph of a quadratic function, f(x) is transformed such that its image, g(x), can be described as g(x)=-f(x-4). Which statement describes how the graph of f(x) was transformed?

Answer 1

The graph of f(x) was reflected vertically and shifted four units to the right.

Explanation:

the negative in front of f reflects the graph vertically.

the -4 shifts (or translates) the graph 4 units to the right because inside the parent function, negative goes right and positive goes left.