Question 853902
The parabola will open upwards because the equation starts positive versus negative.  You then have to use the quadratic formula to solve.

To find vertex take (-b/2a, f(-b/2a)):
3/2*2 give you 3/4 or .75
plug that in for f(x).......f(.75)=2(.75)^2-3(.75)+5=3.875
So your vertex is (.75,3.875)
Stick a 0 in for x to find out y-int.....2(0)^2-3(0)+5.  y-int = (0,5)
for x-int, you will need to factor. You get (x+1) and (2x-5), so x= -1 and 5/2 or 2.5 (-1,0) and (2.5,0) are your x-ints.
Since a>0 it will be decreasing (-inf.,.75] and increasing [.75,inf.)
AOS is x=.75, make sure you write the x= part, if not it will be wrong.

Hope this helps.