a) This is a quadratic polynomial with a positive coefficient; so it rises at both the left and right ends.
b) The zeroes are 3 (double root), -5, and 6.
c) At -5, it passes through the x-axis.
d) At 3 (a double root), it touches but does not pass through the x-axis.
e) At 6, it passes through the x-axis.
f) The graph is above (or not below) in the interval (-inf, -5], [3,3] and [6, inf).
The graph is below (or not above) in the interval [-5,6].