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

.

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.

29.5977692753

step-by-step explanation: