The graph of f(x) is a quadratic graph that opens upward and has a vertex at (5,3)
The function is given as:
- [tex]f(x) = (x - 5)^2 + 3[/tex]
A quadratic function is represented as:
- [tex]f(x) = a(x - h)^2 + k[/tex]
Where (h,k) represents the vertex of the graph
So by comparison:
- [tex](h,k) = (5,3)[/tex]
- [tex]a = 1[/tex]
Given that a is positive (i.e. 1), then it means that the graph opens upward.
Hence, the graph of f(x) is the graph that opens upward and has a vertex at (5,3)
Read more about quadratic functions at:
https://brainly.com/question/1214333
