Reflections of Points Quick Check

Question

2 of 52 of 5 Items

Question
Use the image to answer the question.



A coordinate plane shows the x- and y- axes ranging from negative 11 to 11 in increments of 1. The point left parenthesis negative 2 comma negative 9 right parenthesis is plotted on the plane.
The point (−2, −9)
is reflected across the y
-axis. What are the coordinates of the reflected point?

(1 point)
Responses

(2, −9)
Left Parenthesis 2 comma negative 9 Right Parenthesis

(−9, −2)
Left Parenthesis negative 9 comma negative 2 Right Parenthesis

(2, 9)
Left Parenthesis 2 comma 9 Right Parenthesis

(−2, 9)
Left Parenthesis negative 2 comma 9 Right Parenthesis
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Answer 1

To reflect the point \((-2, -9)\) across the y-axis, you change the sign of the x-coordinate while keeping the y-coordinate the same.

Since the x-coordinate is \(-2\), reflecting it across the y-axis gives you:

\((2, -9)\)

Therefore, the coordinates of the reflected point are

(2, -9).