What kind of transformation converts the graph of f(x) = 5(x - 9)^2 - 2 into the graph of g(x) = 5(x - 9)^2 - 8? Choices: (A)translation 6 units up (B)translation 6 units left (C)translation 6 units right (D)translation 6 units down

Identify Vertex: Identify the vertex of the function f(x). The function f(x) = 5(x - 9)^2 - 2 is already in vertex form, where the vertex is given by (h, k). In this case, the vertex of f(x) is (9, -2).Identify Vertex: Identify the vertex of the function g(x). The function g(x) = 5(x - 9)^2 - 8 is also in vertex form, and the vertex is (h, k). Here, the vertex of g(x) is (9, -8).Compare Vertices: Compare the vertices of f(x) and g(x) to determine the type of transformation. The vertex of f(x) is (9, -2) and the vertex of g(x) is (9, -8). The x-coordinates of the vertices are the same, which means there is no horizontal shift. The y-coordinate of the vertex of g(x) is 6 units lower than the y-coordinate of the vertex of f(x), indicating a vertical shift.Determine Shift Direction: Determine the direction of the vertical shift. Since the y-coordinate of the vertex of g(x) is -8 and the y-coordinate of the vertex of f(x) is -2, the graph has moved down by 6 units.

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What kind of transformation converts the graph of $f(x) = 5(x - 9)^2 - 2$ into the graph of $g(x) = 5(x - 9)^2 - 8$ ? $\newline$ Choices: $\newline$ (A) translation $6$ units up $\newline$ (B) translation $6$ units left $\newline$ (C) translation $6$ units right $\newline$ (D) translation $6$ units down

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Algebra 1

Describe function transformations

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Q. What kind of transformation converts the graph of

f(x) = 5(x - 9)^2 - 2

into the graph of

g(x) = 5(x - 9)^2 - 8

\newline

Choices:

\newline

(A) translation

6

units up

\newline

(B) translation

6

units left

\newline

6

units right

\newline

(D) translation

6

units down

Identify Vertex: Identify the vertex of the function $f(x)$ . The function $f(x) = 5(x - 9)^2 - 2$ is already in vertex form, where the vertex is given by $(h, k)$ . In this case, the vertex of $f(x)$ is $(9, -2)$ .
Identify Vertex: Identify the vertex of the function $g(x)$ . The function $g(x) = 5(x - 9)^2 - 8$ is also in vertex form, and the vertex is $(h, k)$ . Here, the vertex of $g(x)$ is $(9, -8)$ .
Compare Vertices: Compare the vertices of $f(x)$ and $g(x)$ to determine the type of transformation. $\newline$ The vertex of $f(x)$ is $(9, -2)$ and the vertex of $g(x)$ is $(9, -8)$ . The $x$ -coordinates of the vertices are the same, which means there is no horizontal shift. The $y$ -coordinate of the vertex of $g(x)$ is $6$ units lower than the $y$ -coordinate of the vertex of $f(x)$ , indicating a vertical shift.
Determine Shift Direction: Determine the direction of the vertical shift. Since the $y$ -coordinate of the vertex of $g(x)$ is $-8$ and the $y$ -coordinate of the vertex of $f(x)$ is $-2$ , the graph has moved down by $6$ units.