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).
To write a rule for transformation, first identify the type of transformation you want to apply, such as translation, rotation, reflection, or dilation. Then, define the mathematical operation that corresponds to your transformation—for example, for a translation by a vector ( (a, b) ), the rule would be ( (x, y) \rightarrow (x + a, y + b) ). Finally, clearly state the initial coordinates and the resulting coordinates to complete the transformation rule.
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.
function rule
A reflection across the origin transforms a point ((x, y)) to ((-x, -y)). After this reflection, a translation of 3 units to the right and 4 units up shifts the point to ((-x + 3, -y + 4)). Therefore, the combined rule for the transformation is given by the mapping ((x, y) \to (-x + 3, -y + 4)).
The first ten odd numbers
(x,y) --> (x,-y)
Should be (x,y) -> (-x,y) Apologies if it's wrong!
Since the x coordinate will change, but not the y coordinate, take (x,y) and reflect across the y axis and you have (-x,y)
It depends on the kind of transformation: it could be reflection or translation.
The transformation rule states that a transformation is an operation that moves, flips, or changes the size or shape of a figure to create a new figure that is congruent to the original. This rule is used in geometry to describe how geometric figures can be altered while maintaining their essential properties.
For a reflection across the x axis, both the slope and the y intercept would have the same magnitude but the opposite sign.
f(x, y) = (x, -y)
The rule for the transformation above is translation. Translation is a transformation that moves every point of a figure the same distance in the same direction.
To reflect a point across the origin, you simply change the sign of both the x- and y-coordinates of the point. This transformation involves multiplying the coordinates by -1.
To write a rule for transformation, first identify the type of transformation you want to apply, such as translation, rotation, reflection, or dilation. Then, define the mathematical operation that corresponds to your transformation—for example, for a translation by a vector ( (a, b) ), the rule would be ( (x, y) \rightarrow (x + a, y + b) ). Finally, clearly state the initial coordinates and the resulting coordinates to complete the transformation rule.
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.
Do you want to know who ruled the Axis Powers?