select the graph of the equation below. y=1/2x^2+2x-6


Answer:
The correct graph is D (Compare to the graph above)
Answer:
D.
Step-by-step explanation:
You can see it calculating the vertex. the formula of the vertex is
[tex](\frac{-b}{2a}, y(\frac{-b}{2a}))[/tex]
where a = 1/2 and b=2.
[tex](\frac{-2}{1}, \frac{1}{2}(-2)^2+2(-2)-6)[/tex]
[tex](-2, \frac{1}{2}*4-4-6)[/tex]
[tex](-2, 2-4-6)[/tex]
[tex](-2, -8)[/tex]
The only option of graph that has vertex in (-2,-8) is option D.