Question

100 Points for this

Answer 1

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)

Answer 2

Answer:

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

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