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Answer:
See explanation
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