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)

1 answer

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).

Similar Questions
  1. QuestionUse the image to answer the question. Five solid lines join five plotted points labeled upper I, upper F, upper Y, upper
    1. answers icon 1 answer
  2. Use the image to answer the question.Five solid lines join five plotted points labeled upper I, upper F, upper Y, upper H, and
    1. answers icon 1 answer
    1. answers icon 1 answer
  3. Use the image to answer the question.A coordinate plane's axes range from negative 3 to 7 by 1-unit increments. 3 points are
    1. answers icon 1 answer
more similar questions