PLEASE IM FAILING MATH BRO- Write a function to represent each series of transformations:
rotation of 90 degrees counterclockwise about the origin, point O, then a reflection
across the x-axis
reflection across the y-axis, then a translation a units to the right and b units up
translation a units to the right and b units up, then a rotation of 180 degrees
counterclockwise about the origin, then a reflection across the y-axis
e

Translation of a units to the right and b units up:

Ta,b → (x + a, y + b)

[This is read as "Translation of positive a along the x axis and poitive b along the y axis" or more simply, "Translation of a units to the right and b units up" as your question states. ]

Reflection across the y- axis  

This is a left to right movement so the sign of your x value is changing but the y value stays the same.  

My-axis  (x, y) → (-x, y)

Reflection across the x-axis

This is an up and down movemet so so the sign of your y is changing but the x value stays the same.  

Mx-axis (x, y) → (x, -y)

rotation of 90 counterclockwise about the origin, point 0  

This is "1" turn, so it moves 1 quadrant, which means your values "flip"  

Ro, 90° (x, y) → (-y, x)

rotation of 180 degrees counterclockwise across the origin, point 0

This is "2" turns,so it moves 2 quadrants which means  x and y will have opposite signs after the move.  

Ro, 90° (x,y)→ (-x, -y)

Rotation of 270 degrees counterclockwise across the origin, point 0

This is "3" turns, so it moves 3 quadrants which means your values will "flip"

Ro, 270° (x,y) → (-y, x)

Step-by-step explanation:

is there a picture

step-by-step explanation: