Question

The parent function f(x) = x3 is transformed to g(x) = (x – 1)3 + 4. Identify the graph of g(x).

Answer 1

Answer:

The translation is $1$ unit to the right and  $4$ units up

The graph in the attached figure

Step-by-step explanation:

we have

$f(x)=x^{3}$ -----> parent function

$g(x)=(x-1)^{3}+4$ ----> transformed function

we know that

The rule of the translation is

$(x,y)-----> (x+1,y+4)$

That means

The translation is $1$ unit to the right and  $4$ units up

see the attached figure to better understand the problem

Answer 2

The translation is 1 unit to the right and 4 units up.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The graph in the attached figure

we have

f(x) x ³ -----> parent function

g(x) = (x-1)³ + 4 ----> transformed function

we know that

The rule of the translation is

( x, y)-----> ( x+1 ), ( x + 4)

That means that the translation is unit to the right and 1 unit 4 up. see the attached figure to better understand the problem

To know more about graphs follow

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