Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Ask your questions and receive precise answers from experienced professionals across different disciplines. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

I need help with this

I Need Help With This class=

Sagot :

9514 1404 393

Answer:

  1. vertical shrink by a factor of 1/3
  2. shift right 2 units
  3. shift down 4 units

Step-by-step explanation:

The transformations of interest here are ...

  g(x) = k·f(x) . . . . . vertically scale f(x) by a factor of k

  g(x) = f(x -h) . . . . shift f(x) right by h units

  g(x) = f(x) +k . . . . shift f(x) up by k units

__

Working left to right, the first factor we encounter is 1/3, multiplying the value that is cubed. This means the vertical scale factor of f(x) = x^3 is 1/3. A scale factor less than 1 represents a shrink, so ...

  transformation #1 = shrink by a factor of 1/3

The next number we encounter is -2 in the factor (x -2)^3. This means h=2 in f(x -h) = (x -2)^3. The horizontal shift right is 2 units:

  transformation #2 = right shift 2 units

Finally, we encounter the number -4. This means k=-4 in g(x)=f(x)+k. The up-shift is negative, so ...

  transformation #3 = shift down 4 units

__

The right- and down-shifts can be done in either order. Here, we have done them as we see them when scanning the equation left-to-right. The vertical scaling must be done before the down-shift, so that it does not affect the amount of down-shift.

View image sqdancefan