You will need a good math app and scientific calculation.
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).
follow this formula (x,y)->(-y,x)
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.
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).
Yes. The transformation from y = f(x) to y=f(2x) will compress the shape along the x-axis by a factor of 2.
90 degree anticlockwise.
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).
follow this formula (x,y)->(-y,x)
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.
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).
It is an anticlockwise rotation through 90 degrees.
Yes. The transformation from y = f(x) to y=f(2x) will compress the shape along the x-axis by a factor of 2.
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.
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.
depends on the centre of rotation if it's about the origin the x coord is multiplied by -1
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!
The transformation from y = f(x) to y = f(x - 4) - 2