Question

Which of the following functions has a graph with a vertex that is a translation 5 units horizontally to the right of the vertex of the graph of g(x) = (x + 2)^2 + 2?

Answer 1

f(x) = (x - 3)^2 + 2

Explanation:

The function with a graph that has a vertex 5 units horizontally to the right of the vertex of the graph of g(x) = (x + 2)^2 + 2 is f(x) = (x - 3)^2 + 2, which can be obtained by subtracting 5 from x + 2 to get x - 3 inside the parentheses of (x - 3)^2 and translating the vertex horizontally to (3, 2).