Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

100 Points for this
This series of transformations is performed on a quadrilateral:
a dilation by a factor of 4 with the origin as the center of dilation
a reflection across the y-axis
a 90° counterclockwise rotation about the origin
a translation 3 units down
Arrange the functions representing these transformations in the order in which the transformations occur.
(The tiles are)
f(x, y) = (-4x, 4y)
g(x, y) = (4x, -4y)
h(x, y) = (4x, 4y)
i(x, y) = (4y, 4x − 3)
j(x, y) = (4y, 4x)
k(x, y) = (-4y, -4x)
l(x, y) = (-4y, -4x − 3)

Sagot :

mhanifa

Answer:

  • l(x,y) = (-4y, -4x - 3)

Step-by-step explanation:

Let's start with function (x, y)

Transformations in the given order result in following

A dilation by a factor of 4 with the origin as the center of dilation

  • This results in both coordinates multiplied by 4
  • (x, y) → (4x, 4y)

A reflection across the y-axis

  • This results in x-coordinate changing sign to opposite
  • (4x, 4y) → (-4x, 4y)

A 90° counterclockwise rotation about the origin

  • This results in x-coordinate swapping with negative y-coordinate
  • (-4x, 4y) → (-4y, -4x)

A translation 3 units down

  • This results in y-coordinate change by -3
  • (-4y, -4x) → (-4y, 4x - 3)

The final function is:

  • l(x) = (-4y, -4x - 3)

ThunderStrike24

Answer:

l(x) = (-4y, -4x - 3)

I got the same answer as Mhanifa and if you want the explanation check his, because mine sucks :(

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.