The term used is reflection. This operation can be applied to any flat two dimensional figure or image.
When one speaks of flipping a graph or figure across a line, it is the same as saying reflecting it through a line.
To do this, pick any straight line in the same plane as the image. Then, for every point on the image draw a perpendicular to the line. Map the initial point to a point on the opposite side the same distance along the perpendicular. Do this for all points of the image.
This is the same as using the line as an axis of rotation where the image is rotated out of the plane along the axis by 180 degrees to returned back to the plane.
This is one operation of a large set of transformations that can be defined. When one gets very sophisticated about combining these various operations, one is led to the study of group theory.
You have to add on the number that you want to transform the graph by. For example to move the graph 2 units along the x-axis the transformation would be f(x+2).
Yes it does
A reflection in a graph occurs when a shape or figure is flipped over a specified line, creating a mirror image. Common lines of reflection include the x-axis, y-axis, or any line defined by a specific equation. This transformation maintains the shape and size of the figure but alters its orientation. For example, reflecting a point across the y-axis changes its x-coordinate to its negative while keeping the y-coordinate the same.
To enlarge a figure on a coordinate graph, you can apply a dilation transformation using a scale factor. Choose a center point for the dilation, often the origin or the center of the figure, and multiply the coordinates of each vertex by the scale factor. For example, if you use a scale factor of 2, each coordinate (x, y) becomes (2x, 2y), effectively doubling the size of the figure while maintaining its shape and proportions.
formula to figure out the rate of change of a line on a graph m= y2-y1/x2-x1
translation
You have to add on the number that you want to transform the graph by. For example to move the graph 2 units along the x-axis the transformation would be f(x+2).
Yes it does
A monotonic transformation does not change the overall shape of a function's graph, but it can stretch or compress the graph horizontally or vertically.
When a function is multiplied by -1 its graph is reflected in the x-axis.
Multiply by -1
x
A transformation has been made on the graph. A translation has been made.
To enlarge a figure on a coordinate graph, you can apply a dilation transformation using a scale factor. Choose a center point for the dilation, often the origin or the center of the figure, and multiply the coordinates of each vertex by the scale factor. For example, if you use a scale factor of 2, each coordinate (x, y) becomes (2x, 2y), effectively doubling the size of the figure while maintaining its shape and proportions.
the 3d transformation is 3dimentional
There is no such figure.
formula to figure out the rate of change of a line on a graph m= y2-y1/x2-x1