It is an anticlockwise rotation through 90 degrees.
(x,y) --> (x,-y)
Should be (x,y) -> (-x,y) Apologies if it's wrong!
It is reflection in the line y = x.
90 degree anticlockwise.
There is no specific rule. Among the infinitely many possibilities are y = 5 (whatever x is) y = x + 4 y = 27x - 22 y = x2 + 4x y = 28x/4 - 2
(x,y) --> (x,-y)
Should be (x,y) -> (-x,y) Apologies if it's wrong!
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.
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 is reflection in the line y = x.
A counterclockwise rotation of 270 degrees about the origin is equivalent to a clockwise rotation of 90 degrees. To apply this transformation to a point (x, y), you can use the rule: (x, y) transforms to (y, -x). This means that the x-coordinate becomes the y-coordinate, and the y-coordinate becomes the negative of the x-coordinate.
x over y
It is represented in the form of (x, y) whereas x and y have given values
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)).
(x1, y1) = (x - 8, y + 9)
90 degree anticlockwise.
There is no specific rule. y = -sqrt(x) y = x - 12 y = -x/3 y = x2 - 84 are all possible.