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What is the rule for finding the reflection of a point over the axis?

For a reflection over the x axis, leave the x coordinate unchanged and change the sign of the y coordinate.For a reflection over the y axis, leave the y coordinate unchanged and change the sign of the x coordinate.


Write the rule in algebraic form?

you write it like this (x,y) ----> (-x+4, y-5)


What is an example of an algebraic rule that is not a function?

x2 - y2 = (x + y)(x - y) is an identity, not a function.


What is the algebraic rule for rotating point x and y 90 degrees in an anticlockwise direction?

(x=y) (y=-x)


How do you write Y over 5 in algebraic form?

y/5


What is the algebraic rule for a figure that is rotated 270 clockwise about the origin?

When a figure is rotated 270 degrees clockwise about the origin, the algebraic rule for the transformation of a point ((x, y)) is given by ((x, y) \rightarrow (y, -x)). This means the x-coordinate takes the value of the y-coordinate, and the y-coordinate becomes the negative of the original x-coordinate.


What does reflection over the y-axis mean?

Example: if you have a point with the coordinates (2,4), a reflection over the y-axis will result in the point with coordinates (-2,4).


What transformation is represented by the rule (x y) (y -x)?

It is an anticlockwise rotation through 90 degrees.


What is the algebraic expression for excess of 15 over y equals 10?

y + 15 = 10


What type of equation is X equals Y over Z?

algebraic


What transformation gives the same result as a rotation of 180 around the origin followed by a reflection over the y axis?

A rotation of 180 degrees around the origin followed by a reflection over the y-axis is equivalent to a single transformation: a reflection over the x-axis. This is because the 180-degree rotation negates both the x and y coordinates, and the subsequent reflection over the y-axis negates the x-coordinate again, resulting in a reflection over the x-axis.


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)).