Question

Use the image to determine the type of transformation shown.



image.png

Group of answer choices

Reflection across the y-axis

Reflection across the x-axis

Vertical translation

Answer 1

I can't see the image — could you re-upload it or describe the original and transformed graphs (a few point coordinates or where a key point moved)?

Meanwhile, here’s how to tell which transformation it is:

- Reflection across the y-axis: every point (x,y) goes to (−x,y). The graph is mirrored left↔right; y-values stay the same for corresponding x positions. Example: a point at (3,2) moves to (−3,2).

- Reflection across the x-axis: every point (x,y) goes to (x,−y). The graph is flipped up↔down; x-values stay the same for corresponding points. Example: (3,2) → (3,−2).

- Vertical translation: every point (x,y) goes to (x,y+k) for some constant k. The whole graph shifts up (k>0) or down (k<0) but keeps the same shape and orientation; corresponding x-coordinates are unchanged. Example: (3,2) → (3,5) for k=3.

Quick test you can do on the picture: pick one visible point (x,y) and find its image (x',y'). If x' = −x and y' = y → reflection across y-axis. If x' = x and y' = −y → reflection across x-axis. If x' = x and y' = y + k (same k for multiple points) → vertical translation.

Upload the image or tell me one or two point pairs and I’ll identify the transformation.