Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.