Question

a fish was plotted on a coordinate plane. identify the coordinates of the image of y that would create a - 270 - degree rotation about the origin (1 point) y(1, 0) y(1, - 0) y(- 0, 1) y(- 1, 0)

Explanation:

Step1: Recall rotation rule

A - 270 - degree rotation about the origin is equivalent to a 90 - degree clockwise rotation. The rule for a 90 - degree clockwise rotation of a point $(x,y)$ about the origin is $(x,y)\to(y, - x)$.

Step2: Identify coordinates of point Y

From the graph, the coordinates of point Y are $(-9, - 1)$.

Step3: Apply rotation rule

Using the rule $(x,y)\to(y, - x)$ with $x=-9$ and $y = - 1$, we get $(-9,-1)\to(-1,9)$. But we made a wrong - start above. A - 270 - degree rotation about the origin has the rule $(x,y)\to(-y,x)$.
For point Y with coordinates $(-9,-1)$, substituting $x=-9$ and $y=-1$ into the rule $(-y,x)$, we have $-y=-(-1) = 1$ and $x=-9$. So the new coordinates $Y'$ are $(1,-9)$.

Answer:

$Y'(1, - 9)$