What kind of transformation converts the graph of f(x) = 10|x - 8| + 4 into the graph of g(x) = 10|x - 8| + 9? Choices: (A)translation 5 units left (B)translation 5 units right (C)translation 5 units down (D)translation 5 units up

Identify Vertex f(x): Identify the vertex of the function f(x) = 10|x - 8| + 4. Vertex of f(x): (8, 4)Identify Vertex g(x): Identify the vertex of the function g(x) = 10|x - 8| + 9. Vertex of g(x): (8, 9)Calculate Y-Coordinate Difference: Calculate the difference between the y-coordinates of the vertices of f(x) and g(x). Difference in y-coordinates: 9 - 4 = 5Determine Translation Direction: Determine the direction of the translation based on the difference in y-coordinates. Since the y-coordinate increased by 5, the graph has been translated 5 units up.

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What kind of transformation converts the graph of $f(x) = 10|x - 8| + 4$ into the graph of $g(x) = 10|x - 8| + 9$ ? $\newline$ Choices: $\newline$ (A) translation $5$ units left $\newline$ (B) translation $5$ units right $\newline$ (C) translation $5$ units down $\newline$ (D) translation $5$ units up

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Math Problems

Algebra 2

Describe function transformations

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Q. What kind of transformation converts the graph of

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

into the graph of

g(x) = 10|x - 8| + 9

\newline

Choices:

\newline

(A) translation

5

units left

\newline

(B) translation

5

units right

\newline

5

units down

\newline

(D) translation

5

units up

Identify Vertex $f(x)$ : Identify the vertex of the function $f(x) = 10|x - 8| + 4$ . $\newline$ Vertex of $f(x)$ : $(8, 4)$
Identify Vertex $g(x)$ : Identify the vertex of the function $g(x) = 10|x - 8| + 9$ . $\newline$ Vertex of $g(x)$ : $(8, 9)$
Calculate Y-Coordinate Difference: Calculate the difference between the y-coordinates of the vertices of $f(x)$ and $g(x)$ . $\newline$ Difference in y-coordinates: $9 - 4 = 5$
Determine Translation Direction: Determine the direction of the translation based on the difference in $y$ -coordinates. $\newline$ Since the $y$ -coordinate increased by $5$ , the graph has been translated $5$ units up.