Which rule describes a reflection in the x axis?

a (x,y)=(y,x)
b (x,y)=(-x,y)
c (x,y)=(-x,-y)
d (x,y)=(x,-y)

Reflection means flipping a figure over. So I made a mistake. I think the answer is c. Is this right?

No, the answer is not c. Try drawing a diagram (like a triangle) on a coordinate plane and then flip it over the x-axis. That will help you to visualize what is happening.

is it b?

Please explain your thought process so I know you're not just guessing.

Since reflection means flipping a figure, x can be flipped over as -x and y will stay as y.

That's the right logic. Good job. :)

Bruhhhh all we needed was the answer not for u to teach us crap 💀

No, the correct answer is (d) (x, y) = (x, -y). This rule represents a reflection in the x-axis.

To understand why, let's first examine what a reflection in the x-axis entails. It involves flipping the figure over the x-axis, meaning that the y-coordinates of the points are negated but the x-coordinates remain the same.

Looking at the provided options:
a) (x, y) = (y, x) is not the rule for a reflection in the x-axis. It represents swapping the x and y coordinates, which results in a rotation of 90 degrees counterclockwise.
b) (x, y) = (-x, y) is not the rule for a reflection in the x-axis either. It represents reflecting the figure over the y-axis.
c) (x, y) = (-x, -y) represents reflecting the figure over the origin, not specifically over the x-axis.
d) (x, y) = (x, -y) is the correct rule for a reflection in the x-axis. With this rule, the x-coordinate remains the same, but the y-coordinate is negated, effectively reflecting the figure over the x-axis.

So, the correct answer is option (d) (x, y) = (x, -y).