QUESTION IMAGE
Question
list the coordinates. translate the shape 9 units left and and 9 units down. what are the new
r: \ty: \tg: \tb:
r’: \ty’: \tg’: \tb’:
Step1: Determine original coordinates
Assume the grid has the origin (0,0) at the intersection of the two black lines (horizontal and vertical). Let's find the coordinates:
- For point R: Let's say from the origin (assuming the vertical line is y - axis and horizontal is x - axis, with right and up as positive). If R is 2 units left of the vertical line (x=-2) and on the horizontal line (y = 0), so R: (-2, 0)
- For point Y: 1 unit left of vertical line (x=-1) and 4 units up (y = 4), so Y: (-1, 4)
- For point G: 8 units left of vertical line (x=-8) and 8 units up (y = 8), so G: (-8, 8)
- For point B: 6 units left of vertical line (x=-6) and 1 unit up (y = 1), so B: (-6, 1)
Step2: Apply translation (left 9 units: subtract 9 from x - coordinate; down 9 units: subtract 9 from y - coordinate)
For R:
Original coordinates: $(-2,0)$
New x: $-2 - 9=-11$; New y: $0 - 9=-9$; So $R'(-11,-9)$
For Y:
Original coordinates: $(-1,4)$
New x: $-1 - 9=-10$; New y: $4 - 9=-5$; So $Y'(-10,-5)$
For G:
Original coordinates: $(-8,8)$
New x: $-8 - 9=-17$; New y: $8 - 9=-1$; So $G'(-17,-1)$
For B:
Original coordinates: $(-6,1)$
New x: $-6 - 9=-15$; New y: $1 - 9=-8$; So $B'(-15,-8)$
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| R: | Y: | G: | B: |
|---|---|---|---|
| R': | Y': | G': | B': |
| (-11, -9) | (-10, -5) | (-17, -1) | (-15, -8) |