Answer:
Step-by-step explanation:
Let's start with function (x, y)
Transformations in the given order result in following
<u>A dilation by a factor of 4 with the origin as the center of dilation</u>
- This results in both coordinates multiplied by 4
- (x, y) → (4x, 4y)
<u>A reflection across the y-axis</u>
- This results in x-coordinate changing sign to opposite
- (4x, 4y) → (-4x, 4y)
<u>A 90° counterclockwise rotation about the origin</u>
- This results in x-coordinate swapping with negative y-coordinate
- (-4x, 4y) → (-4y, -4x)
<u>A translation 3 units down</u>
- This results in y-coordinate change by -3
- (-4y, -4x) → (-4y, 4x - 3)
<u>The final function is: </u>