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Question 3 of 10
The graphs below have the same shape. What is the equation of the blue
graph?
G(= ?
F(x) = x2
G(x) =
O A. G(X) = (x - 3)2
O B. G(X) = (x + 3)2
O C. G(x) = x2 + 3
O D. G(x) = x2-3

Question 3 of 10 The graphs below have the same shape What is the equation of the blue graph G Fx x2 Gx O A GX x 32 O B GX x 32 O C Gx x2 3 O D Gx x23 class=

Respuesta :

sqdancefan

Answer:

  B.  g(x) = (x +3)^2

Step-by-step explanation:

The graph of g(x) = f(x -h) will be a graph of f(x) shifted right h units. Here, the graph g(x) is the graph of f(x) shifted left 3 units. That means h = -3, and ...

  g(x) = f(x -(-3)) = f(x +3)

  g(x) = (x +3)^2

_____

Additional comment

The vertex of g(x) is the point (-3, 0). You can use these (x, y) values in the offered choices, to see which equation will have that point on its graph.

  A: (-3-3)^2 = 36 ≠ 0

  B: (-3+3)^2 = 0 . . . . . . . the only viable candidate

  C: (-3)^2 +3 = 12 ≠ 0

  D: (-3)^2 -3 = 6 ≠ 0

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