What kind of transformation converts the graph of f(x) = -4|x - 7| + 10 into the graph of g(x) = -4|x - 8| + 10? Choices: (A)translation 1 unit left (B)translation 1 unit down (C)translation 1 unit right (D)translation 1 unit up

Analyze Functions: Analyze the given functions to determine the type of transformation. The given functions are f(x) = -4|x - 7| + 10 and g(x) = -4|x - 8| + 10. Both functions have the same coefficient for the absolute value expression and the same constant term. The only difference is the expression inside the absolute value. In f(x), it is (x - 7), and in g(x), it is (x - 8).Compare Expressions: Compare the expressions inside the absolute value to determine the direction of the shift. The expression inside the absolute value for f(x) is (x - 7), and for g(x) it is (x - 8). The change from (x - 7) to (x - 8) indicates a horizontal shift to the right by 1 unit.Determine Transformation: Determine the type of transformation based on the shift. Since the shift is horizontal and to the right by 1 unit, the transformation is a translation 1 unit to the right.

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What kind of transformation converts the graph of $f(x) = -4|x - 7| + 10$ into the graph of $g(x) = -4|x - 8| + 10$ ? $\newline$ Choices: $\newline$ (A) translation $1$ unit left $\newline$ (B) translation $1$ unit down $\newline$ (C) translation $1$ unit right $\newline$ (D) translation $1$ unit up

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Algebra 1

Describe function transformations

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Q. What kind of transformation converts the graph of

f(x) = -4|x - 7| + 10

into the graph of

g(x) = -4|x - 8| + 10

\newline

Choices:

\newline

(A) translation

1

unit left

\newline

(B) translation

1

unit down

\newline

1

unit right

\newline

(D) translation

1

unit up

Analyze Functions: Analyze the given functions to determine the type of transformation. The given functions are $f(x) = -4|x - 7| + 10$ and $g(x) = -4|x - 8| + 10$ . Both functions have the same coefficient for the absolute value expression and the same constant term. The only difference is the expression inside the absolute value. In $f(x)$ , it is $(x - 7)$ , and in $g(x)$ , it is $(x - 8)$ .
Compare Expressions: Compare the expressions inside the absolute value to determine the direction of the shift. The expression inside the absolute value for $f(x)$ is $(x - 7)$ , and for $g(x)$ it is $(x - 8)$ . The change from $(x - 7)$ to $(x - 8)$ indicates a horizontal shift to the right by $1$ unit.
Determine Transformation: Determine the type of transformation based on the shift. Since the shift is horizontal and to the right by $1$ unit, the transformation is a translation $1$ unit to the right.