Answer:
The correct option is 2.
Step-by-step explanation:
If a figure reflected across the y-axis, then
If a figure translated 5 units down, then
It given that we reflect the triangle across the y-axis, and then translate the image 5 units down. So the relation between preimage and image is defined by the rule
In option 1, Translate 5 units down, and then reflect over the x-axis.
In option 2, Translate 5 units down, and then reflect over the y-axis.
In option 3, Rotate 180° about the origin.
In option 4, Reflect over the x-axis, and then translate 5 units left.
The final image is the same as image of option 2.
Therefore the correct option is 2.