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What is the image of (1 -6) for a 180 degree counterclockwise rotation about the origin?
To find the image of the point (1, -6) after a 180-degree counterclockwise rotation about the origin, you can use the rotation transformation. A 180-degree rotation changes the coordinates (x, y) to (-x, -y). Therefore, the image of the point (1, -6) is (-1, 6).
Find a 90 degree counterclockwise rotation?
follow this formula (x,y)->(-y,x)
What is an 180 degree rotation?
A 180-degree rotation is a transformation that turns a shape or point around a center point (often referred to as the origin) by half a full turn, resulting in the shape or point being flipped to the opposite side. For a point (x, y), the new coordinates after a 180-degree rotation will be (-x, -y). This type of rotation effectively mirrors the object across the center point. It is commonly used in various fields, including geometry, computer graphics, and robotics.
What is image of point 4 3 if rotation is 90?
To find the image of the point (4, 3) after a 90-degree rotation counterclockwise about the origin, you can use the transformation formula for rotation. The new coordinates will be (-y, x), which means the image of the point (4, 3) will be (-3, 4).
Does a transformation ever change the shape of a figure?
Yes. The transformation from y = f(x) to y=f(2x) will compress the shape along the x-axis by a factor of 2.
The transformation f x y y x is what degree rotation?
90 degree anticlockwise.
What is the image of (1 -6) for a 180 degree counterclockwise rotation about the origin?
To find the image of the point (1, -6) after a 180-degree counterclockwise rotation about the origin, you can use the rotation transformation. A 180-degree rotation changes the coordinates (x, y) to (-x, -y). Therefore, the image of the point (1, -6) is (-1, 6).
Find a 90 degree counterclockwise rotation?
follow this formula (x,y)->(-y,x)
What is an 180 degree rotation?
A 180-degree rotation is a transformation that turns a shape or point around a center point (often referred to as the origin) by half a full turn, resulting in the shape or point being flipped to the opposite side. For a point (x, y), the new coordinates after a 180-degree rotation will be (-x, -y). This type of rotation effectively mirrors the object across the center point. It is commonly used in various fields, including geometry, computer graphics, and robotics.
What is image of point 4 3 if rotation is 90?
To find the image of the point (4, 3) after a 90-degree rotation counterclockwise about the origin, you can use the transformation formula for rotation. The new coordinates will be (-y, x), which means the image of the point (4, 3) will be (-3, 4).
What transformation is represented by the rule (x y) (y -x)?
It is an anticlockwise rotation through 90 degrees.
Does a transformation ever change the shape of a figure?
Yes. The transformation from y = f(x) to y=f(2x) will compress the shape along the x-axis by a factor of 2.
The equation of rotation geometric transformation?
In two dimensions, the equations of rotation about the origin are: x' = x cos t - y sin t y' = x sin t + y cos t. where t is the angle of rotation, counterclockwise.
What degree clockwise rotation goes from xy to -xy?
180 degrees in the plane perpendicular to the xy plane. In general, no rotation in the (x, y) plane will take it to (-x, y) unless x = y (or -y) and, in that case it is a 270 degree clockwise rotation.
What happens to the x- coordinate during a 180 degree rotation?
depends on the centre of rotation if it's about the origin the x coord is multiplied by -1
What are geometric transformation?
shown on graphs . 3 types : translation , rotaation , reflection x , y - -x ,y = reflection over y axis x,y- y,-x = reflection over x- axis translation= x,y - x+ or - horizontal change , y+ or - vertical change Perfect reflection= x,y - y,-x 180 degree rotation = x,y - -x , -y 90 degree clockwise rotation=x,y - y , -x 90 degree counter clockwise rotation = x,y - -y,x when graphing transformations , label the new image points as primes . When theres more then one prime , up the amount. Ex: A(1,0) becomes A'(A prime) (-1,0) hope this helps!
What kind of transformation would add 4 to the x-values of every point in a shape and subtract 2 from the y values of every point in a shape?
The transformation from y = f(x) to y = f(x - 4) - 2
