How does the graph of f(x) = (x + 7)^3 – 8 compare to the parent function g(x) = x^3?

ANSWER

7 units left, 8 units down

EXPLANATION

The given function is

This is a function obtained by applying two transformations to the parent function,

The transformations are of the form

This transformation with shift the graph of the parent function k units to the left and c units down.

Therefore f(x) is the graph of g(x) shifted to the left 7 units and down 8 units.

Parent function is shifted 7 units left then 8 units down to produce

.

Step-by-step explanation:

Given polynomial is and it's parent function is .

Now we need to determine about how does the graph of f(x) compare to the parent function g(x).

We know that f(x+h) indicates left shift by h units.

then f(x+7) indicates 7 units left shift.

We know that f(x)-k indicates down shift by k units.

then f(x)-8 indicates 8 units down shift.

So finally we can say that parent function is shifted 7 units left then 8 units down to produce

.

ddsf

step-by-step explanation:

dfs

x/3-10=8

x/3=18

x=48