b = - 252 and c = - 1126
the equation of a parabola in vertex form is
y a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = - 14(x + 9)² + 8 ← equation in vertex form
expand and compare coefficients
y = - 14(x² + 18x + 81 ) + 8 = - 14x² - 252x - 1134 + 8
compare to y = - 14x² + bx + c
b = - 252 and c = - 1126
