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Serga [27]
3 years ago
12

When written in standard form, the leading coefficient of the equation of a parabola that opens up will be- a fraction zero a wh

ole number negative an integer positive
Mathematics
1 answer:
kirill115 [55]3 years ago
8 0

Answer:

Positive integer

Step-by-step explanation:

A parabola is the locus of a point which is equidistant from a fixed point and a fixed line. The fixed line is known as the directrix, while the fixed point is known as the focus.

The axis of a parabola passes through the focus and is perpendicular to the directrix. The axis touches the parabola at a point known as the vertex.

The standard form of a parabola that opens up is:

4ay = x²;

where the focus is at (0, a), the equation of the axis is x = 0 and the equation of the directrix is y = -a (parallel to the y axis).

Hence, the leading coefficient of the equation of a parabola that opens up will be a positive integer.

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