Question

Please help
(x.y)-(x+6. y - 3 )

(x, y) -(x-6.y-3)

(x, y) -(x+6.y+3)

(x, y) -(x-6.y+3)

Answer 1

Answer:

A)   (x, y) → (x + 6, y - 3)

Explanation:

From inspection of the given diagram, the vertices of the pre-image ΔPQR are:

• P = (-1, 4)
• Q = (-1, 2)
• R = (3, 1)

The vertices of the image ΔP'Q'R' are:

• P' = (5, 1)
• Q' = (5, -1)
• R' = (9, -2)

To find the translations that map ΔPQR onto ΔP'Q'R' find the differences between the x-values and y-values of the corresponding vertices.

$\implies \sf x_{P'}-x_{P}=5-(-1)=6$

$\implies \sf y_{P'}-y_{P}=1-4=-3$

Therefore, the translations are:

• x + 6 and y - 3

Therefore, the mapping rule that maps ΔPQR onto ΔP'Q'R'is:

• (x, y) → (x + 6, y - 3)