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Answer:
The graph of the function has a minimum located at (4,-3)
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to
where
a is a coefficient
(h,k) is the vertex of the parabola
If a > 0 the parabola open upward and the vertex is a minimum
If a < 0 the parabola open downward and the vertex is a maximum
In this problem
The coefficient a must be positive, because we need to find a minimum
therefore
Check the option C and the option D
Option C
we have
Convert to vertex form
Factor the leading coefficient
The vertex is the point (4,-3) ( is a minimum)
therefore
The graph of the function has a minimum located at (4,-3)