Question

Your friend produced a reflection over the y
-axis that looks like this figure. You notice a problem with the reflection. How would you suggest correcting the reflection?

(1 point)
Responses

Shift the reflected figure 1 unit up.
Shift the reflected figure 1 unit up.

Shift the reflected figure 1 unit to the right.
Shift the reflected figure 1 unit to the right.

Shift the reflected figure 1 unit down.
Shift the reflected figure 1 unit down.

Shift the reflected figure 1 unit to the left.

Answer 1

To suggest the correct adjustment to the reflection over the y-axis, we need to consider how a reflection over the y-axis affects the coordinates of points on the figure.

When an object is reflected over the y-axis, the x-coordinates of its points change sign (i.e., (x, y) becomes (-x, y)). The y-coordinates remain unchanged.

If the reflected figure appears incorrect, it could mean that the figure was not properly mirrored or was incorrectly positioned after the reflection.

- If the reflection is shifted incorrectly, it may need to be moved horizontally or vertically to match the original figure.
- If the entire figure needs to be moved in a certain direction, the options provided involve either shifting it up, down, left, or right by 1 unit.

Since the question does not provide the original or reflected figure details, you should choose the option based on the specific issue you observe.

For example:
- If the reflection seems shifted too far left from where it should be, you might suggest: "Shift the reflected figure 1 unit to the right."
- If it seems too high compared to where it should be, you could say: "Shift the reflected figure 1 unit down."

If you're unsure what the figure looks like, it's impossible to determine the correct shift without more context about where the issues lie.