Answer:
The vertex is the point (-5,3)
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to
[tex]y=a(x-h)^{2}+k[/tex]
where
a is a coefficient
(h,k) is the vertex
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 we have
[tex]y=2(x+5)^{2}+3[/tex]
a=2
so
the parabola open upward and the vertex is a minimum
h=-5, k=3
therefore
The vertex is the point (-5,3)
