marco5745 marco5745
  • 09-02-2018
  • Mathematics
contestada

Given the parabola whose equation is , find the focus and determine if the parabola opens up or down.

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demariaa01 demariaa01
  • 09-02-2018
The equation of a parabola is:
[tex]y = ax {}^{2} + bx + c[/tex]
If a>0, then the parabola opens up;
If a<0, then the parabola opens down.
The coordinates of focus are:
[tex]( - \frac{b}{2a} \: \: \frac{1 - b {}^{2} + 4ac}{4a} )[/tex]
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