arrange the parabolas represented by the equations according to the positions of their foci on the coordinate plane starting with the farthest left and ending with the farthest right

In Geometry, the focus on the coordinate plane of a parabola is directly on the right side if it opens to the right or left side if it opens to the left.

How to determine the equation of a parabola?

Mathematically, the standard equation of a parabola is given by:

y = a(x - h)² + k

x = a(y - k)² + h

where:

h and k are the vertex.

a is a point on the focus.

In Geometry, the focus on the coordinate plane of a parabola is generally "n" units away from the vertex, and it's directly on the right side if it opens to the right or left side if it opens to the left.

Based on the equations, the parabolas are arranged with respect to the positions of their foci on the coordinate plane from the farthest left to the farthest right:

x = -1/52(y² + 18y - 647)
x = -1/28(y² + 12y - 76)
x = -1/8(y² + 2y + 97)
x = 1/32(y² - 14y - 239)
x = 1/32(y² - 8y - 432)
x = 1/16(y² - 10y - 231)
y = 1/96(x² + 4x - 1,628)
y = 1/48(x² + 22x + 73)

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