How does the graph of g(x) = (x + 2)3 − 7 compare to the parent function of f(x) = x3?

shifted 2 to the left and 7 down

Step-by-step explanation:

We know that the transformation of the parent function f(x) to f(x+a) is a shift of the function f(x) a units to the left or to the right depending on a.

if a>0 then the shift is a units to the left.

and if a<0 then the shift is a units to the right.

Also the transformation of the type:

  f(x) to f(x)+k

is a shift of the function f(x) k units up or down depending on k.

if k>0 then the shift is k units up.

and if k<0 then the shift is k units down.

Here we have the parent function f(x) as:

and the transformed function g(x) as:

Hence, the shift is 2 units to the left and 7 units down.

8496 cars

step-by-step explanation:

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