The translation functions for the transformation of points can be expressed as \( f(x) = x + h \) and \( g(y) = y + k \). For points A, B, and C, respectively, their original coordinates are A(1, -1), B(5, -2), and C(2, 3), while their translated positions are A'(-7, -1), B'(-1, -4), and C'(0, -3). To determine the values of \( h \) and \( k \), we can analyze the change in the x-coordinates and y-coordinates between the original and translated points. By comparing the x-coordinates, we find that \( h = -8 \) (since \( 1 + h = -7 \)). Similarly, by comparing the y-coordinates, we determine that \( k = -3 \) (since \(-1 + k = -4\)). Thus, the translation functions are \( f(x) = x - 8 \) and \( g(y) = y - 3 \).
Write the translation functions for the translation depicted below
f(x) = x+h
g(y)=y+k
Points are:
A (1,-1)
B (5,-2)
C (2,3)
A’ (-7,-1)
B’ ( -1,-4)
C’ (0,-3)
Write in 5 sentences And simplified
1 answer