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Answer:

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Step-by-step explanation:

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If a quadratic function is written in the form

[tex]f(x) = a {(x - h)}^{2} + k[/tex]

Then (h,k) is the vertex, and 'a' is a constant.

For instance

[tex]f(x) = 5 {(x - 1)}^{2} + 3[/tex]

has vertex at (2,3).

Also, an absolute function in the form

[tex]g(x) = a |x - h| + k[/tex]

has vertex at (h,k).

This means

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

also has vertex at (1,3).

I hope this explanation is helpful.

The equation should be g(x) = x - 1 +  3.

Calculation of the equation:

Since the graph contains the vertex of (1,3)

The quadratic equation should be in the form of

[tex]f(x) = (x - h)^2 + k[/tex]

Here (h,k) is the vertex, and 'a' is a constant.

So based on this, we can say that The equation should be g(x) = x - 1 +  3.

Learn more about an equation here: https://brainly.com/question/17165976