To use your example (1,10) becomes (10,-1). Hence making the time change from 9:15 to 3:45.When we rotate angle by 90 degree in clockwise time gets changed from 3:45 to 2:45.Because after rotating the. The OP understands that if a point (x,y) becomes (y,-x) it is being rotated 90 deg clockwise about the origin. Rotation of point through 90 about the origin in clockwise direction when point M (h, k) is rotated about the origin O through 90 in clockwise direction. The opposite is the case when we replace x with y and y with -x in the coordinates of a point - the result is a 90 deg clockwise rotation as shown by your example. x = y² i.e x = - y² This represents a sideways parabola which is concave to the left (a rotation of 90 deg anticlockwise). With regard to a point the rotation is 90 deg clockwise as you indicated in your post.Ĭonsider y = x² If we replace x with y and y with -x in the rule we get: With regard to a function this is a correct statement. I can only assume you were not aware he was referring to the rule of a function when he said replacing x with y and y with -x produces a 90 deg anticlockwise rotation. I was wondering why you said the student was wrong? The student said “if you take a function y=f(x) and do the same thing i.e replace x with y and y with -x then the transformation is 90 deg anticlockwise.” Worked-out examples on 90° anticlockwise rotation about the origin: 1. The new position of point M (h, k) will become M (-k, h). When you look at the graph, you see that it is rotated 90 degrees clockwise from where it started.Ĭlick to expand.The OP understands that if a point (x,y) becomes (y,-x) it is being rotated 90 deg clockwise about the origin. What is 90 degrees anti clockwise Rotation of point through 90° about the origin in anticlockwise direction when point M (h, k) is rotated about the origin O through 90° in anticlockwise direction. However, since the sheet had already been flipped from the previous step, the final transformation becomes x' = y, y' = -x. This effectively exchanges the X and Y coordinates for each point on the graph: x' = y, y' = x. Next you flip the sheet over a second time by holding the bottom-left and top-right corners, such that they remain where they are but the top-left and bottom-right corners exchange positions. The new graph is effectively x' = -x, y' = y. The vertical coordinates for all points on the graph remain unchanged. You begin by flipping the sheet over horizontally: everything on the left side of the graph moves to the right and everything on the right moves to the left. How are they related New Resources Banca Boat (version 2) Graphing Perpendicular Lines in the Coordinate Plane Chapter-01: Example 1.1 mirkasophia Colorful Egg (Pisanka) Discover Resources CCGPS AG 1.3. from publication: A low cost strategy to integrate digital technologies. Click and drag the blue dot to see it's image after a 90 degree clockwise rotation (the green dot). You manipulate the orientation of the sheet in order to transform the graph. Download scientific diagram Rotation of rectangle ABCD, 90 degrees, clockwise. There is a graph of some sort plotted on it as well. Imagine you have some coordinate axes printed on a square transparent sheet.
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