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Science-Related Homework Help Pre-calculus and Functions Topic started by: Rellias Minn on Jan 25, 2023



Title: Finding the graph of a Parabola using certain values
Post by: Rellias Minn on Jan 25, 2023
A parabola has an altitude of 4 units. Express the length of its base as a function
of its area. Graph the function.


Title: Re: Finding the graph of a Parabola using certain values
Post by: bio_man on Jan 25, 2023
See if this helps...

If not, reply back :)


Title: Re: Finding the graph of a Parabola using certain values
Post by: Rellias Minn on Jan 25, 2023
See if this helps...

If not, reply back :)

Thanks for the answer! It kind of seems alright but I don't really understand how the answer was obtained and the process shown as the different constants and values are unfamiliar to me. Is it alright if I ask for more information or an explanation regarding about this answer. Thank you!


Title: Re: Finding the graph of a Parabola using certain values
Post by: bio_man on Jan 25, 2023
Content hidden


Title: Re: Finding the graph of a Parabola using certain values
Post by: Rellias Minn on Jan 25, 2023

Thank you so much for the explanation! I manage to understand on how to acquire this answer.
But I have one last question...

Is there any sort of value to the P value or we can substitute it into any number that we want like P = 1 or P = -1? Also, can I use the \(y=\frac{x^2}{4p}+4\) equation when finding the y for the graphing of this function or should I just use the general equation for the graphing?

Thank you so much again for the answer!


Title: Re: Finding the graph of a Parabola using certain values
Post by: bio_man on Jan 25, 2023
From what I know, \(p\) presents distance from vertex to focus. The focus can only be found if we know one other point other than the vertex, so it will have to stay the way it is.


Title: Re: Finding the graph of a Parabola using certain values
Post by: Rellias Minn on Jan 25, 2023
From what I know, \(p\) presents distance from vertex to focus. The focus can only be found if we know one other point other than the vertex, so it will have to stay the way it is.

Oh ok, I kind of get it now. But, what would be the value of P so that the function would be graphed?


Title: Re: Finding the graph of a Parabola using certain values
Post by: bio_man on Jan 25, 2023
The function can't be graphed unless we know one other point. Hence we can only write the equation generally with p in place. Another way to find p is if you were told the focal width, but again, you haven't been told anything about it.


Title: Re: Finding the graph of a Parabola using certain values
Post by: Rellias Minn on Jan 25, 2023
Ok I understand it now. Thank you so much for all of your help!