Question

identify the rotation function mapping used to turn a (-7,4) to a (-4,-7). (1 point) (x,y)→(-y, x) (x,y)→(2x, 2y) (x,y)→(x, -y) (x,y)→(y, x)

Explanation:

Step1: Apply the first transformation rule to point A

Given point A(-7, 4), for the transformation $(x,y)\to(-y,x)$, substitute $x = - 7$ and $y = 4$. We get $(-4,-7)$.

Step2: Check other transformation rules

For $(x,y)\to(2x,2y)$, substituting $x=-7$ and $y = 4$ gives $(-14,8)$. For $(x,y)\to(x,-y)$, we get $(-7,-4)$. For $(x,y)\to(y,x)$, we get $(4,-7)$.

Answer:

$(x,y)\to(-y,x)$