When written in standard form, the leading coefficient of the equation of a parabola that opens up will be- a fraction zero a whole number negative an integer positive

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.

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.