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No, it is not. It is an arc of a circle.

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9y ago

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Is parabola always yx2?

No, but any parabola can be transformed into the form y = x^2.


What is the standard form of the equation of a parabola that opens up or down?

The standard form of the equation of a parabola that opens up or down is given by ( y = a(x - h)^2 + k ), where ( (h, k) ) is the vertex of the parabola and ( a ) determines the direction and width of the parabola. If ( a > 0 ), the parabola opens upward, while if ( a < 0 ), it opens downward. The vertex form emphasizes the vertex's position and the effect of the coefficient ( a ) on the parabola's shape.


How do you find a parabola opening up or down?

If you can mash the equation for the parabola into the form Y = Ax2 + Bx + C, then the parabola opens up if 'A' is positive, and down if 'A' is negative.


How do you write an equation for a parabola in standard form?

To write an equation for a parabola in standard form, use the format ( y = a(x - h)^2 + k ) for a vertical parabola or ( x = a(y - k)^2 + h ) for a horizontal parabola. Here, ((h, k)) represents the vertex of the parabola, and (a) determines the direction and width of the parabola. If (a > 0), the parabola opens upwards (or to the right), while (a < 0) indicates it opens downwards (or to the left). To find the specific values of (h), (k), and (a), you may need to use given points or the vertex of the parabola.


What is the equation of the directrix of the parabola?

The answer depends on the form in which the equation of the parabola is given. For y^2 = 4ax the directrix is x = -2a.