Reflect the triangle across the y-axis, and then translate the image 5 units down.
the final image is the same as which of the following transformations?
1.translate 5 units down, and then reflect over the x-axis.
2.translate 5 units down, and then reflect over the y-axis.
3.rotate 180° about the origin.
4.reflect over the x-axis, and then translate 5 units left.

This question is based on the slide reflection. Therefore, the correct option is (2), that is, translate 5 units down, and then reflect over the y-axis.

Given:

Reflect the triangle across the y-axis, and then translate the image 5 units down.

We have to choose the correct option as per given question.

According to the question,

It is a slide reflection.  

In this case, the order of sliding and reflection is not necessary, if the gliding is parallel to the line of reflection.

Hence, the equivalent to translate five units down, and then reflect over the y-axis.

In general,  that rotations will not be equivalent to an odd number of reflections.

Therefore, the correct option is (2), that is, translate 5 units down, and then reflect over the y-axis.

For more details, please refer this link:

link

Step-by-step

It is a glide reflection.

The order of sliding and reflection is not important if the gliding is parallel to the line of reflection, which is the case here.

So the equivalent is translate five units down, and then reflect over the y-axis.

Note in general that rotations will not be equivalent to an odd number of reflections.  So looking for an equivalent, look for reflection.

the answer is c)8

step-by-step explanaction:

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)