anonymous
  • anonymous
Find the standard form of the equation of the parabola with a focus at (0, -9) and a directrix y = 9.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Answer Choices: A. y = -1/9x^2 B. y^2 = -36x C. y = -1/36x^2 D. y^2 = -9x
anonymous
  • anonymous
What do you think the answer is? Do you know what a focus is?
Serenity74
  • Serenity74
What's the formula for parabola? How can you plug it into the formula?

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More answers

anonymous
  • anonymous
The formula is (x−h)^2=4p(y−k)
anonymous
  • anonymous
@tom982 Where (h,k) is the vertex
anonymous
  • anonymous
and focus is either (h, k+p) or (h+p ,k)
anonymous
  • anonymous
That's all I know
anonymous
  • anonymous
Anybody?
whpalmer4
  • whpalmer4
Let's work through it with the material you provided. \[ (x−h)^2=4p(y−k)\] focus at \( (0, -9)\) and directrix of \(y = 9\) Any idea where the vertex will be?
anonymous
  • anonymous
I don't know
anonymous
  • anonymous
I don't know how to get the vertex from that information.
whpalmer4
  • whpalmer4
|dw:1449540610345:dw|
whpalmer4
  • whpalmer4
yo, @turmoilx2 are you going to take part here?
anonymous
  • anonymous
hmmmmmmmmm.....
anonymous
  • anonymous
Yes. I am replying. @whpalmer4
anonymous
  • anonymous
I just don't see what I'm supposed to do with the information yet.
whpalmer4
  • whpalmer4
Do you know the definition of what a parabola is? It is a set of points that satisfy some rule, do you know what the rule is?
whpalmer4
  • whpalmer4
sorry, open study is not behaving well for me, going to try restarting my browser, brb...
mathmale
  • mathmale
I'd suggest that you attempt to graph this parabola. Draw a set of axes and locate the given point and the given line. Identify the point, the line and the vertex of your parabola. Even a quick sketch would be helpful. Your job will be to relate distances in this drawing to the equation of a parabola. What does "p" in your formula represent? If you're not sure, look it up, please. Try the Internet and search for "equations of a parabola." Your graph should give you the value of p by inspection.
anonymous
  • anonymous
OS is not behaving well for me either. That is why I haven't been participating in the solving of my question.
mathmale
  • mathmale
Important: The vertex of a parabola lies exactly halfway between the directrix (a line) and the focus (a point). If the directrix is the horiz. line y=9 and the focus is at (0,-9), what are the coordinates of the vertex? Again, I ask you to graph this situation. Show the directrix, the focus and the vertex.
anonymous
  • anonymous
|dw:1449542174879:dw| Here's my sketch
mathmale
  • mathmale
Please see the following on the 'Net: https://www.google.com/search?sourceid=chrome-psyapi2&ion=1&espv=2&es_th=1&ie=UTF-8&q=directrix%20parabola&oq=directrix%20parabola&aqs=chrome..69i57j0l5.3199j0j7 The very first illustration shows that the vertex is halfway between the directrix and the focus. p is the distance between the focus and the vertex. What is p here?
mathmale
  • mathmale
Will YOUR parabola open up or down? You are given the directrix: y=9, and the focus: (0,-9). The vertex is in between. UP or DOWN?

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