You move into a new house; the phone is connected, and you re pretty sure that the phone number is 740511, but not as sure as yo
u would like to be. As an experiment, you pick up the phone and dial 740511; you obtain a busy signal. Are you now more sure of your phone number? If so, how much?
The parabola with with a vertex at (-4,-2) represents any member of parabolas with the equation where is any real number with the exception that .
The reason any equation of the form works is that there are an infinite number of parabolas with a vertex at (-4,-2). All of these parabolas are formed by applying some transformation that involves a vertical translation of -2 and a horizontal translation of -4 on the parabola . The different variations are archived by varying the constant . When is negative, the parabolas will face downwards. When is negative, the parabolas will be face downwards.