Here are a ton of correct answers. I got a few questions wrong but they still show the correct answer.
Your answer will be congruent
The answer is: B. (If you subtract 11.4 - 6.8, you get 4.6. B is the only answer that shows this.) While all of the answers show mental math, only B gives you the correct answer.
If you fit the vertex and the y-intercept into that form of the parabola, what you get is this:

and

and 16a=16. Solve that a to get that a = 1. Now you have your true parabola equation in vertex form, which is:

or just

Follow my work here to find the x-intercepts:

(x-4)(x-4)-1=y and

Simplifying by combining like terms gives you this parabola:

In order to find the x-intercepts, or the roots of the parabola as they are also known as, you have to set y equal to 0 (because the x-intercepts are found when y = 0, right?)

Factoring that gives you (x-5)(x-3)=0 and that x-5=0 and x-3=0. Solving each of those simple equations gives you x=5 and x=3 when y=0. So the roots, in the form you require them, are (5, 0) and (3, 0)
3x + 17 = 4x - 8
4x - 3x = 17 + 8
x = 25