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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.
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What is the reflection image of U across the y axis?
c
What is a definition of a reflection of a point P across the axis to the point P?
The reflection of a point ( P ) across an axis (such as the x-axis or y-axis) results in a new point ( P' ) that is equidistant from the axis but on the opposite side. For example, if ( P ) is at coordinates ( (x, y) ), its reflection across the x-axis would be ( P' ) at ( (x, -y) ). The distance between ( P ) and the axis remains the same, ensuring that the two points are symmetrical with respect to that axis.
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
Can a point at (04) be reflected across the y-axis?
Yes, a point at (0, 4) can be reflected across the y-axis. When reflecting a point across the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. Therefore, the reflection of the point (0, 4) across the y-axis is still (0, 4), as the x-coordinate is already zero.
Is the composition of a reflection across the x and y axis similar to a 180 degree rotation about the origin?
yup.
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).
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 the reflection image of U across the y axis?
c
What is the reflection of (-1-5) across y axis?
The reflection of a point across the y-axis involves changing the sign of the x-coordinate while keeping the y-coordinate the same. In this case, the point (-1, -5) will reflect to (1, -5) across the y-axis. This is because the x-coordinate changes from -1 to 1, while the y-coordinate remains -5.
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.
How does reflection across the y-axis change the coordinates of the orignal point?
y' = y, x' = -x.
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 is the reflection image of 5 -3 across the y axis?
The y-axis is the symmetry line, so that (5, -3) and (-5, -3) are symmetric points.
Is the composition of a reflection across the x and y axis similar to a 180 degree rotation about the origin?
yup.
Reflection across the x-axis?
In transformations a reflection across the x axis produces a mirror image
What happens when a function reflects across the x-axis?
Nothing really happens. y is swapped for -y. But that is what reflection means and so is a tautological answer!
What is a horizontal reflection?
a horizontal reflection is a reflection of the y axis. i.e (-fx)
