What kind of transformation converts the graph of f(x) = -7(x - 9)^2 into the graph of g(x) = -7(x - 9)^2 - 5? Choices: (A)translation 5 units up (B)translation 5 units right (C)translation 5 units down (D)translation 5 units left

Identify Functions: Identify the original function and the transformed function. Original function: f(x) = -7(x - 9)^2 Transformed function: g(x) = -7(x - 9)^2 - 5Determine Transformation Type: Compare the two functions to determine the type of transformation. The only difference between f(x) and g(x) is the ＂- 5＂ at the end of g(x). This indicates a vertical shift.Vertical Shift Direction: Determine the direction of the vertical shift. Since the transformation involves subtracting 5 from the original function, the graph of f(x) is shifted downward by 5 units.Match Transformation to Choices: Match the transformation to the given choices. The graph of f(x) is shifted downward by 5 units, which corresponds to a translation 5 units down.

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What kind of transformation converts the graph of $f(x) = -7(x - 9)^2$ into the graph of $g(x) = -7(x - 9)^2 - 5$ ? $\newline$ Choices: $\newline$ (A) translation $5$ units up $\newline$ (B) translation $5$ units right $\newline$ (C) translation $5$ units down $\newline$ (D) translation $5$ units left

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Math Problems

Algebra 1

Describe function transformations

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Q. What kind of transformation converts the graph of

f(x) = -7(x - 9)^2

into the graph of

g(x) = -7(x - 9)^2 - 5

\newline

Choices:

\newline

(A) translation

5

units up

\newline

(B) translation

5

units right

\newline

5

units down

\newline

(D) translation

5

units left

Identify Functions: Identify the original function and the transformed function. $\newline$ Original function: $f(x) = -7(x - 9)^2$ $\newline$ Transformed function: $g(x) = -7(x - 9)^2 - 5$
Determine Transformation Type: Compare the two functions to determine the type of transformation. $\newline$ The only difference between $f(x)$ and $g(x)$ is the $\text{“}- 5\text{”}$ at the end of $g(x)$ . This indicates a vertical shift.
Vertical Shift Direction: Determine the direction of the vertical shift. Since the transformation involves subtracting $5$ from the original function, the graph of $f(x)$ is shifted downward by $5$ units.
Match Transformation to Choices: Match the transformation to the given choices. $\newline$ The graph of $f(x)$ is shifted downward by $5$ units, which corresponds to a translation $5$ units down.