a. Consider the parabola \(y=-5^2+17x-12\). What is the vertex of this parabola?
b. What are the x-coordinate(s) of all the point(s) where the parabola \(y=-5x^2+17x-12\) intersects the line y = 0?
c. For what values of x is \(-5x^2 + 17x-12\) negative? (Enter the answer as an interval or a union of separated intervals.)