Question

The values on the x-axis range from negative 15 to 5 in one-unit increments. The values on the y-axis range from negative 5 to 10 in one-unit increments. The coordinates of the plotted points are as follows: upper I at left parenthesis negative 8 comma 4 right parenthesis, upper F at left parenthesis negative 6 comma 1 right parenthesis, upper Y at left parenthesis negative 9 comma negative 1 right parenthesis, upper H at left parenthesis negative 12 comma 1 right parenthesis, and upper S at left parenthesis negative 12 comma 4 right parenthesis. Solid lines join upper I to upper F, upper F to upper Y, upper Y to upper S, upper S to upper H, and upper H to upper I. An unlabeled point is plotted at approximately left parenthesis negative 7.5 comma 2 right parenthesis.Image Long DescriptionThe values on the x-axis range from negative 15 to 5 in one-unit increments. The values on the y-axis range from negative 5 to 10 in one-unit increments. The coordinates of the plotted points are as follows: upper I at left parenthesis negative 8 comma 4 right parenthesis, upper F at left parenthesis negative 6 comma 1 right parenthesis, upper Y at left parenthesis negative 9 comma negative 1 right parenthesis, upper H at left parenthesis negative 12 comma 1 right parenthesis, and upper S at left parenthesis negative 12 comma 4 right parenthesis. Solid lines join upper I to upper F, upper F to upper Y, upper Y to upper S, upper S to upper H, and upper H to upper I. An unlabeled point is plotted at approximately left parenthesis negative 7.5 comma 2 right parenthesis.

A fish was plotted on a coordinate plane. Identify the coordinates of the image of Y that would create a −270
−
270
-degree rotation about the origin.

(1 point)
Responses

Y′(−9, 1)
𝑌Y′(1, 9)

Answer 1

Rotate Y(-9,-1) by -270°. Since -270° = +90° (counterclockwise 90°), use (x,y) → (−y, x):

Y' = (−(−1), −9) = (1, −9).

Therefore the correct image is Y'(1, −9) — neither given choice is correct.