Let F(x,y) = y - x^3 Note that (-x)^3 = -(x^3) This suggests that F(-x,-y) = -F(x,y) (-x,-y) represents the point (x,y) reflected through the origin. You could say the function F has anti-point symmetry -- each point (x,y,F) is reflected through the origin at (-x, -y, -F).
Origin.
y = 20x is symmetric about the origin. (If you rotate it around the origin, it will look the same before it is rotated 360 degrees).
The X and Y axes meet at the origin.
The origin
The origin of the x and y axis, is (0,0).
No. The origin is the place where the x-axis and the y-axis cross. 'x' and 'y' are both zero there.
It is the origin
Compare it's position to the origin. The x coordinate is the number of units to the right of the origin. (If it is to the left of the origin the x coordinate is negative.) The y coordinate is the number of units above the origin. (If it is below, the y coordinate is negative.) The point is denoted (x,y) with the x coordinate in place of the x and the y coordinate in place of the y.
origin
The x,y origin is 0,0
In a rectilinear (xy) plot where a point is represented by a pair of numbers (x,y), the origin is normally (0,0). That is, at the origin, x=0 and y=0.
Let F(x,y) = y - x^3 Note that (-x)^3 = -(x^3) This suggests that F(-x,-y) = -F(x,y) (-x,-y) represents the point (x,y) reflected through the origin. You could say the function F has anti-point symmetry -- each point (x,y,F) is reflected through the origin at (-x, -y, -F).
The origin
Origin.
The 'x' and 'y' intercepts of that equation are both at the origin.
On a coordinate graph, the origin is the point where the X axis and the Y axis intersect. That is the point where X=0 and Y=0.