Question

1. function: (x,y)→(−x,y) a (-5,-3), c (-3,2), t (1,-2)

Explanation:

Step1: Apply function to point A

For point $A(-5,-3)$, substitute $x = - 5,y=-3$ into $(x,y)\to(-x,y)$. We get $(-(-5),-3)=(5,-3)$.

Step2: Apply function to point C

For point $C(-3,2)$, substitute $x=-3,y = 2$ into $(x,y)\to(-x,y)$. We get $(-(-3),2)=(3,2)$.

Step3: Apply function to point T

For point $T(1,-2)$, substitute $x = 1,y=-2$ into $(x,y)\to(-x,y)$. We get $(-1,-2)$.

Answer:

$A'(5,-3),C'(3,2),T'(-1,-2)$