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

see explanation

Step-by-step explanation:

Given the graph of g(x) then g(x + k) is a horizontal translation of g(x)

• If k > 0 then shift left by k units

• If k < 0 then shift right by k units

Thus (x + 7)³ is the graph of x³ shifted 7 units left

Given the graph of g(x) then g(x) + c is a vertical translation of g(x)

• If c > 0 then shift up by c units

• If c < 0 then shift down by c units

Thus

f(x) = (x + 7)³ - 8 is the graph of g(x) shifted 7 units to the left and 8 units down

look a the sides they are perpendicular

practice. practice. practice.