parabola

Question

The focus of the parabola y² = 8x is

RankGuru · Accepted Answer

1. **Compare with Standard Form**: The equation $y^2 = 8x$ matches the form $y^2 = 4ax$.
2. **Find Coefficient 'a'**: $4a = 8 \implies a = 2$.
3. **Locus Geometry**: For $y^2 = 4ax$, the focus is located at coordinate $(a, 0)$.
4. **Identify Focus**: Substituting $a = 2$ gives the focus as **$(2, 0)$**.

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More parabola Practice Questions

The standard equation of a parabola with vertex at origin and focus on positive x-axis is