Hi Zahira,
From the equation, you can tell that the zeros are at x=2 and x=6, which means at (2,0) and (6,0) In addition, if we expand this equation, we see it is y= .5x^2+2x-6. The leading coefficient is .5, which is a positive number. This means the parabola opens upward.
Remember: If the leading coefficient is greater than zero, the parabola opens upward, and if the leading coefficient is less than zero, the parabola opens downward.
For the vertex, we use the formula x=-b/2a to find the x. In this case b=2 and a = .5, so we will get x = -2 after plugging it in. Plugging x=-2 back to the equation, you will get y=-8. So the vertex of this graph is at (-2,-8).
Hope this helps!
