The table includes points on a quadratic function used to model the shape of a hole for one support beam at a new building site.

distance
from
hole’s
center
in feet
(x) depth from
level
ground
in feet
(y)
−2 −6
0 −8
2 −6

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