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

Answer:

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

Step-by-step explanation:

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

We want to shift this 5 units to the right

The parabola is written in the form

y = a(x-h) ^2 +k  where (h,k) is the vertex

The vertex is at ( -2, 2)

We want to shift it 5 units to the right

-2+5 = 3

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

Answer 2

Answer:

g'(x) = (x-3)² + 2

Step-by-step explanation:

g'(x) = (x+2 - 5)² + 2