Answer:
vertex is at (10,2)
Step-by-step explanation:
The vertex of a graph is the minimum or the maximum point on the graph.
The coordinate of the vertex of the graph is (10,2)
The function is given as:
[tex]\mathbf{f(x) = (x -10)^2 + 2}[/tex]
A quadratic function is represented as:
[tex]\mathbf{f(x) = a(x -h)^2 + k}[/tex]
Where:
[tex]\mathbf{Vertex = (h,k)}[/tex]
So, by comparison:
[tex]\mathbf{(h,k) = (10,2)}[/tex]
Hence, the coordinate of the vertex of the graph is (10,2)
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