Question

translate triangle abc, starting at (3, -6) (-3, -6) (0, 1), 6 units to the right and 1 unit up. which image below shows the result?

Explanation:

Step1: Define translation rule

For a point $(x,y)$, translating 6 right and 1 up gives $(x+6, y+1)$

Step2: Translate point A (3,-6)

$$\begin{aligned} x' &= 3 + 6 = 9 \\ y' &= -6 + 1 = -5 \end{aligned}$$

New point: $(9, -5)$

Step3: Translate point B (-3,-6)

$$\begin{aligned} x' &= -3 + 6 = 3 \\ y' &= -6 + 1 = -5 \end{aligned}$$

New point: $(3, -5)$

Step4: Translate point C (0,1)

$$\begin{aligned} x' &= 0 + 6 = 6 \\ y' &= 1 + 1 = 2 \end{aligned}$$

New point: $(6, 2)$

Answer:

The translated triangle will have vertices at (9, -5), (3, -5), (6, 2)