Question

E(-9,- 4) is reflected according to the rule (x, y) = (-x,y) to produce E'. Find the coordinates of E'and describe the reflection in words.

Answer 1

After applying the reflection rule (x, y) = (-x, y), point E(-9, -4) is reflected to E'(9, -4), which is a mirror reflection across the y-axis that keeps the y-coordinate the same.

Step-by-step explanation:

The student's question involves the coordinates of a point E after a specific reflection across the y-axis, according to the rule (x, y) = (-x, y). To find the reflected point E', we apply the rule to the original coordinates of point E, which are E(-9, -4).

Applying the rule:

• For the x-coordinate: -(-9) = 9
• For the y-coordinate: We leave it as it is: -4

Therefore, the reflected point E' has the coordinates E'(9, -4). This reflection can be described as a mirror reflection across the y-axis, where each point on the plane flips to the opposite side of the y-axis while retaining its y-coordinate.