Well, we know that the x-intercepts are (0,2) and (0,4). That means that the midpoint is just (0,3)
You can also use the midpoint formula:

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Too blurry to read, what are the numbers?
Centimeters because its smaller than inches and meters are way to long.
f(x) = 2x^2 - x - 10
Part A:
x-intercepts: (-2,0), (5/2,0)
Part B:
The vertex is the minimum
vertex: (1/4, -81/8)
Part C:
A:
x: -2, -1, 1/4, 1, 2
y: 0, -7, -81/8, -9, -4
B: