What kind of transformation converts the graph of f(x) = 7|x - 4| - 2 into the graph of g(x) = 7|x + 2| - 2? Choices: (A)translation 6 units right (B)translation 6 units down (C)translation 6 units up (D)translation 6 units left

Identify Vertex of f(x): Identify the vertex of the function f(x) = 7|x - 4| - 2. The vertex of the absolute value function f(x) = a|x - h| + k is (h, k). For f(x) = 7|x - 4| - 2, h = 4 and k = -2. Vertex of f(x): (4, -2)Identify Vertex of g(x): Identify the vertex of the function g(x) = 7|x + 2| - 2. The vertex of the absolute value function g(x) = a|x - h| + k is (h, k). For g(x) = 7|x + 2| - 2, h = -2 and k = -2. Vertex of g(x): (-2, -2)Determine Transformation Type: Determine the type of transformation from f(x) to g(x). The transformation involves a horizontal shift from the vertex of f(x) to the vertex of g(x). The shift is from (4, -2) to (-2, -2), which is a movement of 6 units to the left.

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What kind of transformation converts the graph of $f(x) = 7|x - 4| - 2$ into the graph of $g(x) = 7|x + 2| - 2$ ? $\newline$ Choices: $\newline$ (A) translation $6$ units right $\newline$ (B) translation $6$ units down $\newline$ (C) translation $6$ units up $\newline$ (D) translation $6$ units left

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Math Problems

Algebra 2

Describe function transformations

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Q. What kind of transformation converts the graph of

f(x) = 7|x - 4| - 2

into the graph of

g(x) = 7|x + 2| - 2

\newline

Choices:

\newline

(A) translation

6

units right

\newline

(B) translation

6

units down

\newline

6

units up

\newline

(D) translation

6

units left

Identify Vertex of $f(x)$ : Identify the vertex of the function $f(x) = 7|x - 4| - 2$ . The vertex of the absolute value function $f(x) = a|x - h| + k$ is $(h, k)$ . For $f(x) = 7|x - 4| - 2$ , $h = 4$ and $k = -2$ . Vertex of $f(x)$ : $(4, -2)$
Identify Vertex of $g(x)$ : Identify the vertex of the function $g(x) = 7|x + 2| - 2$ . The vertex of the absolute value function $g(x) = a|x - h| + k$ is $(h, k)$ . For $g(x) = 7|x + 2| - 2$ , $h = -2$ and $k = -2$ . Vertex of $g(x)$ : $(-2, -2)$
Determine Transformation Type: Determine the type of transformation from $f(x)$ to $g(x)$ . The transformation involves a horizontal shift from the vertex of $f(x)$ to the vertex of $g(x)$ . The shift is from $(4, -2)$ to $(-2, -2)$ , which is a movement of $6$ units to the left.