Today in class we were reviewing formulas and the effect on the x and y axis. When you add to the x coordinate the object moves to the right. When you subtract from the x coordinate the coordinate moves to the left. When you add to the y coordinate the shape moves up and when you subtract the shape moves down. An example would be hat 1, 2 and 4 are similar because hat 1 and 2 are moved to a different place. Their formulas only include adding and subtracting so the size or shape never changes. Hat 4 is reduced by two or times by 1 half. Since it was that on both axes, they were both reduced by the both amount leaving them the same shape but a different size. When you multiply the coordinates by a fraction or a decimal the shape or object gets smaller. If you multiply it by a whole number the object will get bigger and is similar. If both coordinates are multiplied by the same number the image is similar. If they are multiplied by different numbers the image is an “imposter” or not similar.
Example: What rule would make a hat with a line segments twice as long as Hats 1 and moved 8 units to the right?
(x+2, 2y+3)=Hats 1 formula
(2x+10, 2y+3) would be one answer because 2x and 2y would be the twice as long part. X+2+8 would be the 8 units to the right but you have to take notice that this is for Hat 1 and so you must add two to x because that was in the Hat 1 formula. So 8+2 is to. Same thing with y.
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