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

Identify Shape of f(x): Identify the basic shape of the function f(x) = 7|x - 6|. The function f(x) = 7|x - 6| is an absolute value function with a vertex at (6, 0) because the expression inside the absolute value is x - 6, which is zero when x = 6.Identify Shape of g(x): Identify the basic shape of the function g(x) = 7|x|. The function g(x) = 7|x| is also an absolute value function with a vertex at (0, 0) because the expression inside the absolute value is x, which is zero when x = 0.Determine Transformation: Determine the transformation required to go from f(x) to g(x). To go from f(x) = 7|x - 6| to g(x) = 7|x|, we need to move the vertex of the graph from (6, 0) to (0, 0). This is a horizontal shift to the left by 6 units.

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What kind of transformation converts the graph of $f(x) = 7|x - 6|$ into the graph of $g(x) = 7|x|$ ? $\newline$ 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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Algebra 2

Describe function transformations

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Q. What kind of transformation converts the graph of

f(x) = 7|x - 6|

into the graph of

g(x) = 7|x|

\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 Shape of $f(x)$ : Identify the basic shape of the function $f(x) = 7|x - 6|$ . $\newline$ The function $f(x) = 7|x - 6|$ is an absolute value function with a vertex at $(6, 0)$ because the expression inside the absolute value is $x - 6$ , which is zero when $x = 6$ .
Identify Shape of $g(x)$ : Identify the basic shape of the function $g(x) = 7|x|$ . $\newline$ The function $g(x) = 7|x|$ is also an absolute value function with a vertex at $(0, 0)$ because the expression inside the absolute value is $x$ , which is zero when $x = 0$ .
Determine Transformation: Determine the transformation required to go from $f(x)$ to $g(x)$ . To go from $f(x) = 7|x - 6|$ to $g(x) = 7|x|$ , we need to move the vertex of the graph from $(6, 0)$ to $(0, 0)$ . This is a horizontal shift to the left by $6$ units.