What is the standard form of the equation of a parabola that opens left or right?
Question
What is the standard form of the equation of a parabola that opens left or right?
Solution
The standard form of the equation of a parabola that opens left or right is given by:
(y - k)² = 4a(x - h)
Here,
- (h, k) is the vertex of the parabola.
- 'a' is a non-zero constant which determines the 'width' of the parabola. If 'a' is positive, the parabola opens to the right. If 'a' is negative, the parabola opens to the left.
- The focus of the parabola is (h + a, k) and the directrix is x = h - a.
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