Question

graph the image of j(1, -4) after a rotation 90° counterclockwise around the origin.

Explanation:

Step1: Recall rotation rule

The rule for a 90 - degree counter - clockwise rotation around the origin is $(x,y)\to(-y,x)$.

Step2: Apply the rule

Given the point $J(1,-4)$, substitute $x = 1$ and $y=-4$ into the rule. We get $(-(-4),1)=(4,1)$.

Step3: Plot the point

On the coordinate grid, move 4 units to the right along the x - axis and 1 unit up along the y - axis to plot the point $(4,1)$.

Answer:

The image of the point $J(1,-4)$ after a 90 - degree counter - clockwise rotation around the origin is the point $(4,1)$.