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On a coordinate plane, an absolute value graph has a vertex at (1, 3). Which equation represents the function graphed on the coordinate plane? g(x) = |x + 1| + 3 g(x) = |x + 3| – 1 g(x) = |x – 1| + 3 g(x) = |x + 3| + 1

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Answer: g(x)= |x-1| + 3

Step-by-step explanation: the |x-1| means you need to move the vertex to the right by one and the +3 means you must move the vertex up by three

The equation that represents the function on a coordinate plane is [tex]g(x) =|x - 1| + 3[/tex]

The vertex is given as:

[tex](h,k) = (1,3)[/tex]

An absolute function is represented as:

[tex]y = a|x - h| + k[/tex]

Substitute 1 for h, and 3 for k

[tex]y = a|x - 1| + 3[/tex]

Assume that the value of (a) is 1

[tex]y = 1 \times |x - 1| + 3[/tex]

So, we have:

[tex]y =|x - 1| + 3[/tex]

Represent as a function

[tex]g(x) =|x - 1| + 3[/tex]

Hence, the equation that represents the function on a coordinate plane is [tex]g(x) =|x - 1| + 3[/tex]

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