Question

give the coordinates of the point obtained from each reflection. (a) reflect the point (0, - 6) across the x - axis: ( , ) (b) reflect the point (0, - 6) across the y - axis: ( , )

Explanation:

Step1: Recall x - axis reflection rule

When reflecting a point $(x,y)$ across the $x$-axis, the rule is $(x,y)\to(x, - y)$. For the point $(0,-6)$, substituting $x = 0$ and $y=-6$ into the rule, we get $(0,-(-6))=(0,6)$.

Step2: Recall y - axis reflection rule

When reflecting a point $(x,y)$ across the $y$-axis, the rule is $(x,y)\to(-x,y)$. For the point $(0,-6)$, substituting $x = 0$ and $y = - 6$ into the rule, we get $(-0,-6)=(0,-6)$.

Answer:

(a) $(0,6)$
(b) $(0, - 6)$