Question

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

Answer 1

Answer:

The correct graph is D (Compare to the graph above)

Answer 2

Answer:

D.

Step-by-step explanation:

You can see it calculating the vertex. the formula of the vertex is

$(\frac{-b}{2a}, y(\frac{-b}{2a}))$

where a = 1/2 and b=2.

$(\frac{-2}{1}, \frac{1}{2}(-2)^2+2(-2)-6)$

$(-2, \frac{1}{2}*4-4-6)$

$(-2, 2-4-6)$

$(-2, -8)$

The only option of graph that has vertex in (-2,-8) is option D.