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What single transformation is equivalant to a reflection in the y axis followed by a reflection in the x axis followed by another reflection in the y axis?
reflection in the x-axis
What happens to the coordinates when a point is reflected over the y-axis?
When a point is reflected over the y-axis, the x-coordinate changes its sign while the y-coordinate remains the same. For example, if a point has the coordinates (x, y), after reflection over the y-axis, its new coordinates will be (-x, y). This transformation effectively mirrors the point across the y-axis.
What is a transformation gives the same result as a rotation of 180 around the origin followed by a reflection over the y axis?
A transformation that yields the same result as a rotation of 180 degrees around the origin followed by a reflection over the y-axis is a reflection over the x-axis. When you rotate a point 180 degrees around the origin, its coordinates change to their negatives, and reflecting that result over the y-axis switches the sign of the x-coordinate again, effectively mirroring it across the x-axis. Thus, the combined effect is equivalent to just reflecting over the x-axis.
How can you reflect figures in the x-axis and y-axis?
For a given coordinate pair. A reflection in the y-axis is making the 'x' term negative. e.g. ( a,b,) ' (-a, b). Similarly for a reflection in the x-axis is making the 'y' term negative. e/.g. ( c,d) ; ( c,-d).
What is the reflection of you across the y axis?
The reflection of a point or shape across the y-axis involves changing the sign of the x-coordinates while keeping the y-coordinates the same. For example, if you have a point (x, y), its reflection across the y-axis would be (-x, y). This transformation effectively flips the figure horizontally, creating a mirror image on the opposite side of the y-axis.
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 does reflection over the x-axis mean?
(x,-y)
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.
What single transformation is equivalant to a reflection in the y axis followed by a reflection in the x axis followed by another reflection in the y axis?
reflection in the x-axis
What are the coordinates of the reflection of (a b) over the y-axis?
They are (-a, b).
What transformation gives the same result as a rotation of 180 around the origin followed by a reflection over the x axis?
Reflection in the y-axis.
What is the reflection in Geometry?
Reflections are congruence transformations where the figure is reflected over the x-axis, y-axis, or over a line.
Which graph shows a reflection across the x-axis?
y = -f(x) is a reflection of y = f(x) in the x axis.
What is a horizontal reflection?
a horizontal reflection is a reflection of the y axis. i.e (-fx)
If the y-axis is the reflecting line and A is -1 2 its reflection image is A' equals?
A' = (-1, -2)
What is the reflection through an x axis?
All y-values in the function are multiplied by -1. This function is 'flipped' over the x-axis.
How does a reflection across the y axis change the coordinates of a point?
Reflection across the y-axis changes the sign of the x - coordinate only, that is, (x, y) becomes (-x, y).
