Use the image to answer the question.Five solid lines join five plotted points labeled upper I, upper F, upper Y, upper H, and upper S on a coordinate plane. An unlabeled point is also plotted on the plane.A fish was plotted on a coordinate plane. Identify the coordinates of the image of Y that would create a 270-degree clockwise rotation about the origin.(1 point)ResponsesY′(1,9)upper Y prime left parenthesis 1 comma 9 right parenthesisY′(−9,1)upper Y prime left parenthesis negative 9 comma 1 right parenthesisY′(−1,9)upper Y prime left parenthesis negative 1 comma 9 right parenthesisY′(1,−9)

Answer 1

To find the coordinates of the image of point Y after a 270-degree clockwise rotation about the origin, we can apply the rotation transformation rules for points in the coordinate plane.

For a point (x, y):

• A 90-degree clockwise rotation transforms (x, y) into (y, -x).
• A 180-degree rotation transforms (x, y) into (-x, -y).
• A 270-degree clockwise rotation (which is equivalent to a 90-degree counterclockwise rotation) transforms (x, y) into (-y, x).

Assuming the coordinates of point Y are (x, y), the transformation for a 270-degree clockwise rotation would be:

• Y'(x, y) = (-y, x).

Given the coordinates of Y, we can plug those values into this transformation.

To provide accurate options, we'd need the coordinates of Y from the image you're referring to. If the coordinates of Y are, for example, (1, 9), then applying the transformation:

• Y' = (-9, 1).

Once you have the coordinates for Y, you can determine the correct transformed coordinates from the above transformation rule.

If you can provide the coordinates of Y, I can confirm the final answer. However, based on the choices:

• If Y has coordinates (1, 9), then Y' would be (-9, 1), which matches one of your options.

So, based on the options: Y′(−9,1) would be the correct answer if Y was originally at (1, 9).