How does the graph of f(x) = (x + 7)3 − 8 compare to the parent function g(x) = x3?

g(x) has been shifted 7 units to the left and 8 units down, to obtain the graph of f(x).

Step-by-step explanation:

We want to to find out how the graph of

compares with

We that the parent function is

The transformed function can be rewritten in terms of g(x) as:

This means that, g(x) has been shifted 7 units to the left and 8 units down, to obtain the graph of f(x).

Remember some rules:

If c is a positive real number. Horizontal and vertical shift in the graph of y=f(x) are represented as follows:

In this case we have a parent function

That has been shifted according to the following rule:

By comparing, we can conclude that this graph has been shifted 7 units to the left and 8 units down related to the parent function.

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: