Question

How does the graph of f(x) = (x − 8)3 + 4 compare to the parent function g(x) = x3?

Answer 1

Explanation:

Function f(x) is shifted 8 units to the right and 4 units up compared to the function g(x).

f(x)=(x-p)³+q

g(x)=x³

f(x)=(x-8)³+4 => p=8 q=4

If p>0 move the function to the right if p<0 move to the left.

If q>0 move the function up if q<0 move the function down.

Answer 2

Explanation:

The ' -8 ' shifts the graph to the RIGHT 8 units

the +4 shifts the graph up 4 units

from g(x) :