What kind of transformation converts the graph of f(x) = 7(x - 8)^2 + 5 into the graph of g(x) = 7(x + 1)^2 + 5? Choices: (A)translation 9 units up (B)translation 9 units right (C)translation 9 units left (D)translation 9 units down

Find Vertex Function: f(x) = 7(x - 8)^2 + 5 Find the vertex of the given function. Compare f(x) = 7(x - 8)^2 + 5 with the vertex form. Vertex of f(x): (8, 5)Compare with Vertex Form: g(x) = 7(x + 1)^2 + 5 Find the vertex of the transformed function. Compare g(x) = 7(x + 1)^2 + 5 with the vertex form. Vertex of g(x): (-1, 5)Find Transformed Vertex: We found: Vertex of f(x) = (8, 5) Vertex of g(x) = (-1, 5) Is the transformation horizontal or vertical? Since the y-values of the vertices are the same and only the x-values change, the transformation is horizontal.Compare with Vertex Form: We have: Vertex of f(x) = (8, 5) Vertex of g(x) = (-1, 5) Did f(x) shift to the left or right to become g(x)? The x-coordinates of the vertices are 8 and -1 respectively. On a number line, -1 lies to the left of 8. f(x) shifts towards the left.Identify Transformation: We found that f(x) shifts towards the left. Identify the transformation from (8, 5) to (-1, 5). Calculate the distance between the x-coordinates of the vertices. |8 - (-1)| = |9| = 9 The graph of f(x) shifts 9 units to the left.

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What kind of transformation converts the graph of $f(x) = 7(x - 8)^2 + 5$ into the graph of $g(x) = 7(x + 1)^2 + 5$ ? $\newline$ Choices: $\newline$ (A) translation $9$ units up $\newline$ (B) translation $9$ units right $\newline$ (C) translation $9$ units left $\newline$ (D) translation $9$ units down

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Algebra 1

Describe function transformations

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Q. What kind of transformation converts the graph of

f(x) = 7(x - 8)^2 + 5

into the graph of

g(x) = 7(x + 1)^2 + 5

\newline

Choices:

\newline

(A) translation

9

units up

\newline

(B) translation

9

units right

\newline

9

units left

\newline

(D) translation

9

units down

Find Vertex Function: $f(x) = 7(x - 8)^2 + 5$ $\newline$ Find the vertex of the given function. $\newline$ Compare $f(x) = 7(x - 8)^2 + 5$ with the vertex form. $\newline$ Vertex of $f(x)$ : $(8, 5)$
Compare with Vertex Form: $g(x) = 7(x + 1)^2 + 5$ $\newline$ Find the vertex of the transformed function. $\newline$ Compare $g(x) = 7(x + 1)^2 + 5$ with the vertex form. $\newline$ Vertex of $g(x)$ : $(-1, 5)$
Find Transformed Vertex: We found: $\newline$ Vertex of $f(x) = (8, 5)$ $\newline$ Vertex of $g(x) = (-1, 5)$ $\newline$ Is the transformation horizontal or vertical? $\newline$ Since the $y$ -values of the vertices are the same and only the $x$ -values change, the transformation is horizontal.
Compare with Vertex Form: We have: $\newline$ Vertex of $f(x) = (8, 5)$ $\newline$ Vertex of $g(x) = (-1, 5)$ $\newline$ Did $f(x)$ shift to the left or right to become $g(x)$ ? $\newline$ The $x$ -coordinates of the vertices are $8$ and $-1$ respectively. $\newline$ On a number line, $-1$ lies to the left of $8$ . $\newline$ $f(x)$ shifts towards the left.
Identify Transformation: We found that $f(x)$ shifts towards the left. $\newline$ Identify the transformation from $(8, 5)$ to $(-1, 5)$ . $\newline$ Calculate the distance between the $x$ -coordinates of the vertices. $\newline$ $|8 - (-1)| = |9| = 9$ $\newline$ The graph of $f(x)$ shifts $9$ units to the left.