You will need a good math app and scientific calculation.
follow this formula (x,y)->(-y,x)
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.
depends on the centre of rotation if it's about the origin the x coord is multiplied by -1
The transformation from y = f(x) to y = f(x - 4) - 2
90 degree anticlockwise.
follow this formula (x,y)->(-y,x)
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
To find the image of the point (4, 3) after a -90-degree rotation (which is equivalent to a 90-degree clockwise rotation), you can use the rotation formula: (x', y') = (y, -x). Applying this to the point (4, 3), the new coordinates become (3, -4). Therefore, the image of the point (4, 3) after a -90-degree rotation is (3, -4).
(x,y) to (x,-y). You would keep the x the same, but turn the y negative. This is actually the rule for a 90 degree counterclockwise rotation, but they're the same thing, they would go to the same coordinates.