you put it at a 90 degree angle
To reflect a point across the line ( y = x ), you swap the coordinates of the point. For example, if you have a point ( (a, b) ), its reflection across the line ( y = x ) will be ( (b, a) ). This transformation applies to all points in the Cartesian plane.
you put it at a 90 degree angle
You switch the x and y coordinates of the line. In other words, (x,y) ---> (y,x). I hope this helps! :)
substitute x = y and y = -x Ex: y = x2 becomes -x = y2
x=y is the diagonal line which runs through 0,0 so all you have to do is reflect the triangle on the diagonal line. hop that helps :)
f(x) = x + 1, to reflect this across the y-axis you need to reverse all the x values. Essentially, what this means is that, you rewrite f(x) as f(-x) making the function, -x + 1.
0, 1 1, 0
When you reflect a figure across the x-axis, the x-coordinates of the points remain the same, while the y-coordinates change sign. This means that if a point is at (x, y), its reflection across the x-axis will be at (x, -y).
a vertical line at x=3
If you reflect a function across the line y=x, you will have a graph of the inverse. For trigonometric problems: y = sin(x) has the inverse x=sin(y) or y = sin-1(x)
No, they are perpendicular.
To reflect a point over the line ( y = x ), you swap the coordinates of the point. For example, if the original point is ( (a, b) ), its reflection over ( y = x ) will be ( (b, a) ). This process applies to any shape or set of points by reflecting each point individually.