Question

multiple-choice question a change in the y value means the preimage slides... right or left. up or down. reflect a point p(5,4) → p(5,-4)

Explanation:

The question is about transformations in coordinate geometry, specifically about what a change in the \( y \)-value of a point (preimage) indicates in terms of sliding (translation).

Step 1: Recall translation rules

In coordinate geometry, when we translate a point \((x, y)\):

• A change in the \( x \)-value (horizontal change) means the point slides right or left.
• A change in the \( y \)-value (vertical change) means the point slides up or down.

Step 2: Match the description to the rule

The question states "A change in the \( y \)-value means the preimage slides...". From the translation rules, a change in \( y \)-value corresponds to vertical movement (up or down). The other option, "Right or Left", is associated with a change in the \( x \)-value.

Answer:

Up or Down