The new coordinate after translating the image by (x+4, y - 6) will be A’ = (2, -2) ,B’ = (4, -16) and C’ = (1, -1).
A pair of numbers is used to express the location of a point on a coordinate plane using the horizontal and vertical distinctions from the two reference axes. usually represented by pairs of x-values and y-values (x,y).
The first term will always be x and the second term will always be y when writing coordinates.
Given the coordinates
A(-2,4) ,B(0,-8) and C(-3,5)
The operation we need to apply is x ⇒ x + 4 and y ⇒ y - 6
So,
A(-2,4) ⇒ A'(-2+4,4 -6) = A’ = (2, -2)
B(0,-8) = B'(0+4,-8-6) = ,B’ = (4, -16)
C(-3,5) = C'(-3+4,5-6) = C’ = (1, -1).
Hence new coordinate after translating the image by (x+4, y - 6) will be A’ = (2, -2) ,B’ = (4, -16) and C’ = (1, -1).
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