The main cable of a suspension bridge forms a parabola, described by the equation y = a(x − h)2 + k. y =height in feet of the cable above the roadway
x =horizontal distance in feet from the left bridge support

a =a constant
(h, k) =vertex of the parbola
What is the vertex of the parbola?

Ana drinks chocolate milk out of glasses that each holdof a liter. she has of a liter of chocolate milk in her refrigerator. 10 how many glasses of chocolate milk can she pour?

Y= 4x + 3 y = - 1 4 x - 5 what is the best description for the lines represented by the equations?

The biologist has a second culture to examine. she knows that the population of the culture doubles every 15 minutes. after 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. a) what was the size of the initial population? b) predict the size of the culture at t=3 hours. what was the size of the population at 40 minutes? explain and justify your answers. c) create a graph of the population as a function of time. find an equation that can be used to predict the size of the population at any time t. d) examine the rate at which the bacteria culture is growing. how fast is the culture growing after 1 hour? after 1.5 hours? after 2 hours? use a time interval of h = 0.01 hours to estimate these rates. interpret these rates in terms of the context of the problem situation. how do these three rates compare?