anonymous
  • anonymous
Use the quadratic equation y = x2 + 3x – 10. Where does the vertex of the parabola lie?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Do you know about this at all? I want to know where to start.
anonymous
  • anonymous
nope
anonymous
  • anonymous
its the bonus question on my worksheet

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anonymous
  • anonymous
Do you know what the vertex of a parabola is?
anonymous
  • anonymous
i don't even know what a parabola is
whpalmer4
  • whpalmer4
A parabola looks like a bowl. This particular one opens upward, and looks something like this:|dw:1370491443947:dw|
anonymous
  • anonymous
oh ok thanks
whpalmer4
  • whpalmer4
The definition of a parabola is that it is a set of points that are all an equal distance from a point called the focus, and a line called the directrix. |dw:1370491539974:dw|
Luigi0210
  • Luigi0210
|dw:1370491476443:dw|
whpalmer4
  • whpalmer4
The equal distance part makes it a very useful shape for concentration light, sound, radio waves, etc. Auto headlights and spotlights usually have parabolic reflectors to form a nice beam from light which was going in all directions, etc.
whpalmer4
  • whpalmer4
My man @Luigi0210 will do the math while I provide color commentary :-)
Luigi0210
  • Luigi0210
I doubt she knows derivatives.. and I never really learned vertex and such
whpalmer4
  • whpalmer4
If you throw a ball in the air at an angle, and ignore air resistance, the path of the ball will be a parabola.
Luigi0210
  • Luigi0210
sorry bud ^_^'
whpalmer4
  • whpalmer4
To find the vertex of the parabola, put it in the form \[(x-h)^2 = 4p(y-k)\]Then you can read off the vertex \((h,k)\), the directrix (\(x=-p\)), and the focus (\(p,0\)). To do that with your equation, we'll complete the square. Do you know how to do that?
anonymous
  • anonymous
Isn't the vertex ( -b/2a , f(-b/2a) )?
anonymous
  • anonymous
Assuming ax^2 + bx + c
whpalmer4
  • whpalmer4
If you'd like to take over, be my guest...
anonymous
  • anonymous
@desiraedallas1999 do you understand what they have been telling you? They are not wrong, but are you getting them?

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