The graph of the function f(x) = x2 was transformed to form the graph of g(x) = (x – 7)2 + 8. Which transformations occurred to create the graph of g?

Answer 1

To create the graph of g(x) from the graph of f(x), the following transformations occurred:

1. Horizontal translation: The graph shifted 7 units to the right. This is indicated by the term "x - 7" inside the parentheses.

2. Vertical translation: The graph shifted 8 units upwards. This is indicated by the "+8" outside the parentheses.

Therefore, the transformations are a horizontal translation to the right by 7 units and a vertical translation upwards by 8 units.