Question

How do you translate the graph of f(x) = x3 left 4 units and down 2 units? Identify the equation of the graph

Answer 1

Answer:

The correct option is B.

Step-by-step explanation:

The given function is

$f(x)=x^3$

The translation of a function is defined as

$g(x)=f(x+a)+b$

If a>0, then the graph of f(x) shift a units left and if a<0, then the graph of f(x) shift a units right.

If b>0, then the graph of f(x) shift b units up and if b<0, then the graph of f(x) shift b units down.

It is given that the graph of f(x) shifts 4 units left and 2 units down.  So, a=4 and b=-2.

$g(x)=f(x+4)+(-2)$

$g(x)=(x+4)^3-2$              $[\because f(x)=x^3]$

$y=(x+4)^3-2$

Therefore option B is correct.

Answer 2

Answer:

b

Step-by-step explanation: