Answer:
Step-by-step explanation:
the translation is : (x', y') = (x+12, y +8)
x' =x+12 and y'= y+8
you have : x = -7 and y = -6
so : x' = - 7+12 = - 5 and y' = -6+8= 2
the cordinateurs of Q'(- 5 ; 2)
The co-ordinates of Q' is (5,2).
Translation means the displacement of a figure or a shape from one place to another. In translation a figure can move upward, downward, vertical and horizontal.
Now the given Pre-image point is Q(-7,-6)
To find the coordinates of Image point Q' after following translation.
Translation rules:
(x,y) ⇒ (x+12, y +8)
Now the Horizontal shift is given as-
(x,y) ⇒ (x+k, y )
when k>0 the point is translated k units to the right.
when k<0 the point is translated k units to the left.
and the Vertical shift is given as-
(x,y) ⇒ (x, y +k)
when k>0 the point is translated k units up.
when k<0 the point is translated k units down.
Now, the given translation (x,y) ⇒ (x+12, y +8) shows the point is shifted 12 units to the right and 8 units up.
The point Q' can be given as:
Q'= (x,y) ⇒ (-7+12, -6 +8)
Q'= (5,2)
So, the co-ordinates of Q' is (5,2).
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