Which is the graph of the function f (x) = 1/2x^2+2x-6

Step-by-step explanation:

This function could be rewritten as

f (x) = 1/2x^2+2x-6 = (1/2) (x^2 + 4x - 3), or

f (x) = (1/2) (x + 4) (x - 3)

Setting each factor equal to zero and solving for x results in {-4, 3}, and so the x-intercepts are (x + 4) and (x - 3).

The y-intercept is at f (0) = - 6 = > (0, - 6)

The axis of symmetry of this function is x = - 4/2 = - 2, or x = - 2