anonymous
  • anonymous
A parabola has its vertex at the origin and a directrix at y=4. Where is the focus located?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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jim_thompson5910
  • jim_thompson5910
blank xy axis |dw:1437436785171:dw|
jim_thompson5910
  • jim_thompson5910
|dw:1437436834898:dw|
jim_thompson5910
  • jim_thompson5910
draw in the directrix y = 4 |dw:1437436852839:dw|

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jim_thompson5910
  • jim_thompson5910
`A parabola has its vertex at the origin` |dw:1437436941427:dw|
jim_thompson5910
  • jim_thompson5910
how far is the vertex from the directrix?
anonymous
  • anonymous
4 spaces
anonymous
  • anonymous
@jim_thompson5910 4 spaces
jim_thompson5910
  • jim_thompson5910
correct
jim_thompson5910
  • jim_thompson5910
we move 4 spaces in the opposite direction to get to the focus |dw:1437437123551:dw|
jim_thompson5910
  • jim_thompson5910
The focus is always located on the axis of symmetry. The axis of symmetry is the line perpendicular to the directrix and it passes through the vertex In this case, the axis of symmetry lies on top of the y axis |dw:1437437233976:dw|
anonymous
  • anonymous
Ohhh I understand now! Thank you! So my focus is located at (0,-4)
jim_thompson5910
  • jim_thompson5910
correct

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