The $x$-intercepts of the parabola $y = x^2 + bx + c$ are $(-3,0)$ and $(5,0).$ find the equation of the parabola, and submit your answer in $y = ax^2 + bx + c$ form.

y = x^2 - 2x - 15

Step-by-step explanation:

Since the x-intercepts are (-3,0) and (5,0), the roots of the quadratic are -3 and 5. This means that the equation of the parabola is

y = (x + 3)(x - 5), which expands to  y = x^2 - 2x - 15

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.