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Graph the image of H(
–
9,3) after a rotation 180° clockwise around the origin.

1 answer

To find the image of the point \( H(-9, 3) \) after a 180° clockwise rotation around the origin, you can use the rotation rules for coordinates. A rotation of 180° about the origin changes the coordinates of a point \((x, y)\) to \((-x, -y)\).

Given the original point \( H(-9, 3) \):

  1. Change the x-coordinate: \(-(-9) = 9\)
  2. Change the y-coordinate: \(-3\)

So, the coordinates after a 180° rotation around the origin will be:

\[ H'(9, -3) \]

Now, if you want to graph this, you would:

  1. Plot the original point \( H(-9, 3) \).
  2. Plot the new point \( H'(9, -3) \).

This concludes the transformation for the point \( H(-9, 3) \) after a 180° clockwise rotation around the origin to be \( H'(9, -3) \).