anonymous
  • anonymous
A building has an entry the shape of a parabolic arch 22 ft high and 28 ft wide at the base, as shown below. A parabola opening down with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is twenty two feet and its width from left to right is twenty eight feet.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
|dw:1449586085305:dw|
anonymous
  • anonymous
Find an equation for the parabola if the vertex is put at the origin of the coordinate system.
retirEEd
  • retirEEd
That is a very interesting question. I have never seen a question like this before and off hand don't know the answer it. Would you like to help me figure it out?

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More answers

anonymous
  • anonymous
I would. Sorry I was in the shower
anonymous
  • anonymous
So the formula is (x-h)^2=4p(y-k) Since the parabola is on the vertical axis.
anonymous
  • anonymous
The vertex is at the origin (0,0)... Plug that information in to get (x-0)^2=4p(y-0) x^2=4py
retirEEd
  • retirEEd
Wow, I seen hat equation in another question, but I forgot it. Thanks.
retirEEd
  • retirEEd
What is p?
anonymous
  • anonymous
I believe P is the distance from the vertex to the directrix or focus
anonymous
  • anonymous
Usually the focus would be given. That's why I'm not sure where to go from here.
retirEEd
  • retirEEd
The vertex, in this case is the highest point, which on this graph is the origin. I'm not sure I understand the other words, directrix or focus.
anonymous
  • anonymous
A parabola is a set of points that are equidistant from the focus and the directrix. Usually, the focus is a set of coordinates (a point) while the directrix is a y-intercept.
retirEEd
  • retirEEd
That's kind of vague.
anonymous
  • anonymous
|dw:1449589134722:dw|
anonymous
  • anonymous
The distance from the focus which is inside the parabola is equal to the distance between that same point on the parabola and the directrix
anonymous
  • anonymous
My drawing is not to scale
anonymous
  • anonymous
The distance from the focus to a point of the parabola*** which is inside the parabola is equal to the distance between that same point on the parabola and the directrix
retirEEd
  • retirEEd
Excellent drawing. That makes sense.
retirEEd
  • retirEEd
You will be a great teacher some day. Thanks for helping me understand this.
anonymous
  • anonymous
Awesome thanks :) I want to be a psychologist though. Maybe a psychology professor? ;)

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