Answer:
[tex]\large\boxed{(-5,\ 3)}[/tex]
Step-by-step explanation:
The vertex form of an equation of a parabola:
[tex]y=a(x-h)^2+k[/tex]
(h, k) - vertex
We have:
[tex]y-3=\dfrac{1}{2}(x+5)^2[/tex] add 3 to both sides
[tex]y=\dfrac{1}{2}(x-(-5))^2+3[/tex]
The vertex: (-5, 3)
Answer:
(-5, 3)
Step-by-step explanation:
This equation is in standard vertex form for a parabola which is y-k = a(x-h)^2 where h and k are the coordinates for the vertex, hence h = -5 and k=3 so (-5, 3) is the vertex of the parabola.
