Question

incorrect
your answer is incorrect.
give the coordinates of the point obtained from each reflection.
(a) reflect the point $(0, -4)$ across the $y$-axis:
(b) reflect the point $(0, -4)$ across the $x$-axis:

Explanation:

Step1: Reflect across the y - axis

When reflecting a point \((x,y)\) across the \(y\) - axis, the rule is \((x,y)\to(-x,y)\). For the point \((0, - 4)\), substituting \(x = 0\) into the rule: \((0,-4)\to(-0,-4)=(0,-4)\)

Step2: Reflect across the x - axis

When reflecting a point \((x,y)\) across the \(x\) - axis, the rule is \((x,y)\to(x,-y)\). For the point \((0, - 4)\), substituting \(y=-4\) into the rule: \((0,-4)\to(0,-(-4))=(0,4)\)

Answer:

(a) \((0,-4)\)
(b) \((0,4)\)