Write a rule to describe the translation of a point from (–3, 3) to (–2, 2).

A. (x, y) (x – 1, y + 1)
B. (x, y) (x + 1, y + 1)
C. (x, y) (x – 1, y – 1)
D. (x, y) (x + 1, y – 1)

Question

Write a rule to describe the translation of a point from (–3, 3) to (–2, 2).  

A. (x, y)  (x – 1, y + 1)
B. (x, y)  (x + 1, y + 1)
C. (x, y)  (x – 1, y – 1)
D. (x, y)  (x + 1, y – 1)

anonymous · Answer

$$
\begin{array}{rcl}
x&\to& x&\pm& 1 \
(-3) &\to& (-2)&\pm& 1 \
0 &\to& -2+3&\pm& 1 \
0 &\to& 1&\pm& 1 \

\end{array}
$$Obviously we want the $\pm 1$ to be $-1$ so that we get $0 \to 0$.
Thus the rule for $x$ is $x \to x-1$.
Now you have to find the rule for $y$.