What kind of transformation converts the graph of f(x) = -6|x + 5| + 4 into the graph of g(x) = -6|x + 5| + 10? Choices: (A)translation 6 units left (B)translation 6 units down (C)translation 6 units right (D)translation 6 units up

Compare Functions: Compare the two functions f(x) and g(x) to determine the transformation. f(x) = -6|x + 5| + 4 g(x) = -6|x + 5| + 10 The only difference is the constant term at the end of the function.Identify Change: Identify the change in the constant term from f(x) to g(x). The constant term in f(x) is +4, and in g(x) it's +10.Calculate Difference: Calculate the difference in the constant terms to find the vertical shift. Difference = 10 - 4 = 6 This indicates a vertical shift of 6 units.Determine Shift Direction: Determine the direction of the vertical shift. Since the constant term increased from 4 to 10, the graph shifts up.

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What kind of transformation converts the graph of $f(x) = -6|x + 5| + 4$ into the graph of $g(x) = -6|x + 5| + 10$ ? $\newline$ Choices: $\newline$ (A) translation $6$ units left $\newline$ (B) translation $6$ units down $\newline$ (C) translation $6$ units right $\newline$ (D) translation $6$ units 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) = -6|x + 5| + 4

into the graph of

g(x) = -6|x + 5| + 10

\newline

Choices:

\newline

(A) translation

6

units left

\newline

(B) translation

6

units down

\newline

6

units right

\newline

(D) translation

6

units up

Compare Functions: Compare the two functions $f(x)$ and $g(x)$ to determine the transformation. $f(x) = -6|x + 5| + 4$ $g(x) = -6|x + 5| + 10$ The only difference is the constant term at the end of the function.
Identify Change: Identify the change in the constant term from $f(x)$ to $g(x)$ . The constant term in $f(x)$ is $+4$ , and in $g(x)$ it's $+10$ .
Calculate Difference: Calculate the difference in the constant terms to find the vertical shift. $\newline$ Difference = $10 - 4 = 6$ $\newline$ This indicates a vertical shift of $6$ units.
Determine Shift Direction: Determine the direction of the vertical shift. $\newline$ Since the constant term increased from $4$ to $10$ , the graph shifts up.