Answer:
Step-by-step explanation:
Solving (a): Translate a units right, b units up
When a function is translated a units right, the number of units will be added to the x coordinate
When a function is translated b units up, the number of units will be added to the y coordinate.
So, we have:
Solving (b): Reflect across y-axis
When a function is translated across the y-axis, the x coordinate gets negated.
So, we have:
Solving (c): Reflect across x-axis
When a function is translated across the x-axis, the y coordinate gets negated.
So, we have:
Solving (d): 90 degrees rotation counterclockwise
When a function is rotated 90 degrees counterclockwise, the y-coordinates gets negated and then swapped with the x-coordinate.
So, we have:
Solving (e): 180 degrees rotation counterclockwise
When a function is rotated 180 degrees counterclockwise, the coordinates are negated.
So, we have:
Solving (f): 270 degrees rotation counterclockwise
When a function is rotated 270 degrees counterclockwise, the x-coordinates gets negated and then swapped with the y-coordinate.
So, we have: