Question

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

Answer 1

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

Answer 2

D.

Explanation:

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

`((-b)/(2a), y((-b)/(2a)))`

where a = 1/2 and b=2.

`((-2)/(1), (1)/(2)(-2)^2+2(-2)-6)`

`(-2, (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.