Match the red graph above to the corresponding equation

  y = -1/3·x³

Step-by-step explanation:

The function is odd (symmetrical about the origin), so corresponds to a function of odd degree. It is shorter and wider than the parent x³ function, so has a vertical scale factor less than 1. The appropriate choice is ...

  y = -1/3x³

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have