Question

DETAILS Find a function whose graph is a parabola with the given vertex and that passes through the given point. Write your answer in vertex form: f(x)-a(x-)P+* Vertex (-2, -3); passes through the point (-1,-6) f(x) DETAILS Solve the problem. The distance that a freely falling body falls varies directly as the square of the time it falls. If a body falls 144 feet in 3 seconds, how far will it fall in 5 seconds? ft

Answer 1

Ane 1 given f(u):= y = a (re-h²+k alu-hp? (y-k) (hik) how at this vertex shows with para bola a so from given data vertan (-2, -3) passes from (-1,-6) h = -2 Ka-3 al3+2²+3 now x= -1 y = -6 -6 = Q(x+27 +3 -62 a (11? +3 a - so y = - 9(2+2) + 3

given distance & +2 { t = time distance = at² { {a a = constant now at +=3 d = 144 144 = a (3) ga a = 16 144 9 now at t=5 2 distance = 16 x (5) - 25 X 16 = 400 so in s see total fall = you feet D you feet P