How to find the focus of a parabola?
Understand the Problem
The question is asking for the method to determine the focus point of a parabola, which is a key concept in the geometry of conic sections. This involves understanding the standard form of a parabola and the properties that define its focus location.
Answer
(h, k + 1/(4a)) for vertical parabolas, (h + 1/(4a), k) for horizontal parabolas.
The final answer is the focus point (h, k + 1/(4a)) for vertically opening parabolas and (h + 1/(4a), k) for horizontally opening parabolas.
Answer for screen readers
The final answer is the focus point (h, k + 1/(4a)) for vertically opening parabolas and (h + 1/(4a), k) for horizontally opening parabolas.
More Information
The focus of a parabola is the point where all the reflected lines converging on the parabola meet.
Tips
Be sure to correctly complete the square and identify the values of h and k from the vertex form of the equation.
Sources
- Equation of a Parabola - Varsity Tutors - varsitytutors.com
- How to find the focus of a parabola - Study.com - study.com
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