![]() That is where we end up, we end up at the point negative 3 comma negative 1031, under this point gets mapped to this point under this translation. What's this going to be? 31 minus 34 is negative 3 and then if we have negative 529 minus 502 that's going to be negative 1031. If we're starting atģ1 comma negative 529, we're going to end up at, let me write it this way, if we're starting at this point, we're starting at 31 comma negative 529 we're going to end up at 31 minus 34 that's how much we're going to shift it and negative 529, so negative 529 minus 502. This translation, what it does is it shifts us in the xĭirection by negative 34 and it shifts us in the yĭirection by negative 502. Our ending point minus our starting point, minus 434 is going to be equal to, so this is just going to be the same thing as the negative of 68 plus 434 and let's see 430 plus 60 is 490, plus another eight plusįour, plus another 12 so that's going to get us to 502. Our change in y is our ending point is negative 68, and our starting point is 434. This is going to be negative 34 that's our change in x. The correct answer, answer c, moves point C (-1,4)- 1 space to the left (-1), and 4 spaces up (4). key idea translated units horizontally and If is positive the point is translated to the right and if is negative the point is translated to the left. Vertical Translation: When we translate a point, line, or shape up or down, it is undergoing a vertical translation along the y-axis. Because if you moved it (1,4), it would end C' would end up 2 spaces to the right, as a movement of (1,4) from point C means the same thing as moving point C 1 space to the right, and four spaces up. Let's see this one is the easiest for my brain to process this is going to be 34. If the shape is being translated to the right, then we are adding units to the x-coordinate, and if the shape is shifting left then we are subtracting units from the x-coordinate. Hence, it is important to understand how both work. In either case, they can be moved in the positive or negative direction, and often you will have to combine both horizontal and vertical translations into one single transformation. This is the same thing as, I'll just write it in yellow, negative 203 plus 169 which is the same thing as 169 minus 203 I'm just writing it this way for put my brain to process it, which is the same thing as the negative of 203 minus 169. In Geometry, shapes can be translated both horizontally and vertically. A translation is a transformation that moves every point in a figure the same distance in the same direction. To be our ending point, so negative 203 minus our starting point. ![]() Let's think about what the change in x that this translation does and the change in y that What are the coordinates of the image of point 31 comma negativeĥ29 under this translation? I encourage you to pause this video and try to think about it on your own. ![]() Acting on the coordinate plane takes a point negative 169 comma 434 to point negative 203 comma negative 68. ![]()
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