Answer:
the graph of f(x) is a quadratic graph that opens upward and has a vertex at (5,3)
The function is given as:
(
)
=
(
�
−
5
)
2
+
3
f(x)=(x−5)
2
+3
A quadratic function is represented as:
�
(
�
)
=
�
(
�
−
ℎ
)
2
+
�
f(x)=a(x−h)
2
+k
Where (h,k) represents the vertex of the graph
So by comparison:
(
ℎ
,
�
)
=
(
5
,
3
)
(h,k)=(5,3)
�
=
1
a=1
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)