Anew outdoor recreation center is being built in pagosa springs. the perimeter of the rectangular playing field is 448 yards. the length of the field is 66 yards less than quadruple the width. what are the dimensions of the playing field?
the width is [ ]
the length is [ ] yards.

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step-by-step explanation:

the orientation of the parabolas can easily be found by analysing the power of x and y and their signs. if x is squared , parabola opens up and also if its coefficient is negative it opens down. if y is squared , the parabola opens right and also if its coefficient is negative it opens left. however in order to do the above analysis our equation must be in standard form .

our parabola is

which is not standard form of any parabola . hence we square on both hand side and convert it into standard form.

hence we see that x is squared and its coefficient is non negative . there for it opens up.