Compositions of Transformations

In compositions of transformations the first step you do is the second transformation they give you. Then the first one they give you is the second one and your final answer. 

Example: Given point A(−2,3). State the coordinates of the 

image of A under the composition T(−3,−4)r x − axis

Step 1: When reflecting over the x-axis the you negate the y-value.

(-2,3) -----> (-2,-3)

Step 2: Using the new point created move the point left and right following the rule.

(-2,-3) ------> (-2+-3, -3+-4) -----> (-5,-7)

Final Answer: (-5.-7)

Questions:

1) Given Point A(5,3)find the transformation r x−axis r y=x

2) Given the point A(-8,-10) find the transformation   r x−axis r y−axis