Aparabola y=1/2x^2-4x+21 can you me find the vertex form of this parabola and you : )

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial

The quadratic function h(t)=-16.1t^2+150 choose the graph representation

Abird on top of a 200 ft bridge tower sees a man standing on the lower part of the bridge (which is 50 ft above the ground). the angle of depression from the bird is 26 ̊. how far is the man from the base of the bridge tower? with explanation and pictures .