Question

can you come up with a rule for what happens to the signs when you reflect a point across both axes?

Answer 1

Required Answer :-

→ When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed).

→ If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.

Hope it helps!!

Answer 2

Answer:

(a,b) ⇒ (-a,-b)

Step-by-step explanation:

When you reflect over the x-axis, the y-value changes sign.

When you reflect over the y-axis, the x-value changes sign.

So if you reflect across both, both values change sign. That is, if you reflect the point (a,b) across both axes, you will get (-a,-b)

(I've also attached a table that's handy for other reflections if you're curious)