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How do I write a rule for transformation?
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.
What is the rule to reflect across the line yx?
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.
What is an expression that describes that describes the relationship between each input and output?
function rule
What is the rule for a reflection across the origin followed by a translation 3 units to the right and 4 units up?
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)).
What is the rule that describes this pattern 2,3,5,7,11,13,17,19,23,29?
The first ten odd numbers
What rule describes a transformation across the X-Axis?
(x,y) --> (x,-y)
Which rule describes a transformation across the x-axis?
Should be (x,y) -> (-x,y) Apologies if it's wrong!
What rule describes a transformation across the Y-Axis?
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)
What rule describes a transformation across the line yx?
It depends on the kind of transformation: it could be reflection or translation.
What type of transformation is represented by the rule (XY)(-Xy)?
The rule (XY)(-Xy) represents a transformation involving both reflection and rotation in the coordinate plane. The term (XY) indicates a combination of variables, while (-Xy) suggests a reflection across the x-axis due to the negative sign before X. Overall, this transformation alters the positions of the points based on the given algebraic expressions.
What is the rule that describes transformation?
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.
What is the rule for a reflection across the x-axis?
For a reflection across the x axis, both the slope and the y intercept would have the same magnitude but the opposite sign.
What is the ordered pair rule that reflects a figure across the x- axis?
f(x, y) = (x, -y)
What is the rule for a reflection across the origin?
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.
What is the rule for the transformation above?
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.
How do I write a rule for transformation?
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.
What is the Axis Power Rule?
Do you want to know who ruled the Axis Powers?
