9. (09.01 LC) The graphs of f(x) and g(x) are shown below: If f(x) = (x + 7)^2, which of the following is g(x) based on the translation? (5 points)
g(x) = (x + 9)^2
g(x) = (x + 5)^2
g(x) = (x − 9)^2
g(x) = (x − 5)^2

9 0901 LC The graphs of fx and gx are shown below If fx x 72 which of the following is gx based on the translation 5 points gx x 92gx x 52 gx x 92 gx x 52 class=

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leena

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Answer:

g(x) = (x + 9)²

Step-by-step explanation:

If we look at the graph g(x), we can see that its vertex is at (-9, 0).

Recall the transformation form of a parabola is f(x) = ±a(b(x-h))+k where (h , k) are the coordinates of the vertex. In this instance it is (-9, 0), therefore:

g(x) = (x + 9)²