Question

1. reflection across the y - axis

j(-1, -3), a(-1, -1), p(0, 0)
j ( )a( )j( )

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ across the y - axis is $(-x,y)$.

Step2: Apply rule to point J

For $J(-1,-3)$, when we apply the rule $(-x,y)$, we get $J'(1,-3)$ since $-(-1) = 1$ and $y=-3$ remains the same.

Step3: Apply rule to point A

For $A(-1,-1)$, using the rule $(-x,y)$, we have $A'(1,-1)$ as $-(-1)=1$ and $y = - 1$ stays the same.

Step4: Apply rule to point P

For $P(0,0)$, applying the rule $(-x,y)$, we get $P'(0,0)$ because $-(0)=0$ and $y = 0$ remains unchanged.

Answer:

$J'(1,-3), A'(1,-1), P'(0,0)$