Let f(x) = x² and g(x) = x² + 2x + 2. Which of the following alternatives best describes the relationship between the graph of f and g? A) The graph of g is obtained by shifting the graph of f up one unit B) The graph of g is obtained by shifting the graph of f up one unit and shifting right one unit C) The graph of g is obtained by shifting the graph of f down one unit and shifting it right one unit D) The graph of g is obtained by shifting the graph of f up one unit and shifting left one unit

Question

Quizplus · Accepted Answer

The graph of g(x) = x^2 + 2x + 2 can be rewritten as (x+1)^2 + 1, indicating a shift left by 1 unit and up by 1 unit from f(x) = x^2.

Let F(x) = X2 and G(x) = X2 + 2x

Let F(x) = X² and G(x) = X² + 2x