Describe each graph in relation to its basic function. a. Compare f(x) = (x - 2)^3 - 1 to the basic function g(x) = x^3
Explain in full sentences please!

In a nutshell, is obtained by applying an horizontal translation on , followed by a vertical translation.

Step-by-step explanation:

Let be the parent function, is obtained by applying an horizontal translation on , followed by a vertical translation, that is:

(1)

If , then translation is rightwards.

If , then translation in downwars.

If and , then the resulting function is:

(2)

In a nutshell, is obtained by applying an horizontal translation on , followed by a vertical translation.

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)