What is the equation of y = x^ 3 with the given transformations? vertical stretch by a factor of 3, horizontal shift 4 units to the right, vertical shift 3 units down.
(show work)

  y = 3(x -4)^3 -3

Step-by-step explanation:

The sorts of transformations we're usually concerned with involve multiplying the variables by some number or adding some number to them. Each of these four operations has its specific effect.

Here, we're concerned with three of those effects. For an original function f(x), we can write the transformed function g(x) as ...

 g(x) = a·f(x-b) +c

Based on the problem statement, we want a=3, b=4, c=-3. Then our function becomes ...

  y = 3(x -4)^3 -3

it is b)

hope this : )

step-by-step explanation:

correct answer:

b.(19,-2)