Question

Fgh is first translated using the rule x,y >x+3,y-1this is followed by a 90 degrees counter clockwise rotation centered at the origin what are the coordinates of h

Answer 1

The student's question asks for the final coordinates of H after a translation and a 90-degree counterclockwise rotation. To answer this, one must apply the translation rule to H's original coordinates and then rotate the result 90 degrees counterclockwise around the origin. Without H's initial coordinates, the specific final coordinates cannot be provided.

Step-by-step explanation:

The question involves a two-step transformation of a point in a coordinate plane: first a translation, then a rotation. To find the coordinates of point H after these transformations, follow these steps:

1. Apply the translation to the original coordinates of H using the given rule x,y → x+3,y-1. This rule means that you add 3 to the x-coordinate and subtract 1 from the y-coordinate.
2. After translation, perform a 90-degree counterclockwise rotation centered at the origin. The rule for a 90-degree counterclockwise rotation is (x,y) → (-y,x).

Assuming we know the initial coordinates of H, after applying the translation and rotation rules step by step, we would obtain the final coordinates of H. Unfortunately, without the initial coordinates of H, we cannot provide a specific answer.