Question

Write the translation functions for the translation depicted

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 4 sentences In 5the graders response

Answer 1

To find the translation functions for the points A, B, and C to A’, B’, and C’, we need to see how much we move each point. For point A, it goes from (1, -1) to (-7, -1), which means we move left 8 units, so h = -8. For point B, it moves from (5, -2) to (-1, -4), so we move left 6 units and down 2 units, making h = -6 and k = -2. And for point C, it goes from (2, 3) to (0, -3), which means we move left 2 units and down 6 units, confirming h = -2 and k = -6. In summary, the translation is described by the functions f(x) = x - 8 and g(y) = y - 2.