What kind of transformation converts the graph of f(x) = -3|x + 10| - 8 into the graph of g(x) = -3|x + 10| - 9? Choices: (A)translation 1 unit right (B)translation 1 unit down (C)translation 1 unit left (D)translation 1 unit up

Identify Basic Form: Identify the basic form of the functions and determine the type of transformation based on the difference between f(x) and g(x). f(x) = -3|x + 10| - 8 g(x) = -3|x + 10| - 9 The only difference between f(x) and g(x) is the constant term at the end of the equation. This indicates a vertical shift.Determine Vertical Shift: Determine the direction and magnitude of the vertical shift. The constant term in f(x) is -8, and in g(x) it is -9. Since -9 is one unit less than -8, this means the graph of g(x) is shifted down by 1 unit compared to the graph of f(x).Match Transformation: Match the transformation to the given choices. The graph of g(x) is the graph of f(x) shifted down by 1 unit. This corresponds to choice (B) translation 1 unit down.

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What kind of transformation converts the graph of $f(x) = -3|x + 10| - 8$ into the graph of $g(x) = -3|x + 10| - 9$ ? $\newline$ Choices: $\newline$ (A) translation $1$ unit right $\newline$ (B) translation $1$ unit down $\newline$ (C) translation $1$ unit left $\newline$ (D) translation $1$ unit up

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Algebra 2

Describe function transformations

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Q. What kind of transformation converts the graph of

f(x) = -3|x + 10| - 8

into the graph of

g(x) = -3|x + 10| - 9

\newline

Choices:

\newline

(A) translation

1

unit right

\newline

(B) translation

1

unit down

\newline

1

unit left

\newline

(D) translation

1

unit up

Identify Basic Form: Identify the basic form of the functions and determine the type of transformation based on the difference between $f(x)$ and $g(x)$ . $f(x) = -3|x + 10| - 8$ $g(x) = -3|x + 10| - 9$ The only difference between $f(x)$ and $g(x)$ is the constant term at the end of the equation. This indicates a vertical shift.
Determine Vertical Shift: Determine the direction and magnitude of the vertical shift. $\newline$ The constant term in $f(x)$ is $-8$ , and in $g(x)$ it is $-9$ . Since $-9$ is one unit less than $-8$ , this means the graph of $g(x)$ is shifted down by $1$ unit compared to the graph of $f(x)$ .
Match Transformation: Match the transformation to the given choices. $\newline$ The graph of $g(x)$ is the graph of $f(x)$ shifted down by $1$ unit. This corresponds to choice (B) translation $1$ unit down.