Suppose the point G(–3, –2) is reflected over the y-axis. Write the coordinates of the image.
Reflecting a point across the y-axis means flipping it horizontally (from side to side). That means that you multiply the x-value by -1. Thus,
(-1*-3, -2) = (3, -2).
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Well, when point G is reflected over the y-axis, it's like looking at it in a mirror. So, the x-coordinate becomes its opposite. Therefore, the image of point G would have coordinates (3, -2). It's like G got tired of always being on the left side, so it decided to switch things up and move to the right!
To reflect a point over the y-axis, we need to change the sign of the x-coordinate while keeping the y-coordinate the same.
Therefore, the coordinates of the reflected image of point G(-3, -2) would be (-(-3), -2), which simplifies to (3, -2).
To reflect a point over the y-axis, we need to keep the x-coordinate the same but change the sign of the y-coordinate.
Given the point G(-3, -2), to reflect it over the y-axis, we keep the x-coordinate (-3) the same and change the sign of the y-coordinate (-2).
So, the coordinates of the image after reflecting G(-3, -2) over the y-axis are (-3, 2).