Question
Problem #4
Rectangle MNPQ is translated 4 units left and 3 units up. Which rule best describes this transformation?
(x, y) -> (x + 3, y - 4)
(x, y) -> (x — 4, y + 3)
(x, y) ---> (x+4,y+3)
(x, y) ----> (4x,3y)
Rectangle MNPQ is translated 4 units left and 3 units up. Which rule best describes this transformation?
(x, y) -> (x + 3, y - 4)
(x, y) -> (x — 4, y + 3)
(x, y) ---> (x+4,y+3)
(x, y) ----> (4x,3y)
Answers
GPT-4o mini
When translating a point in the coordinate plane, the transformation can be described by how the coordinates change.
In this case, the rectangle MNPQ is translated 4 units left and 3 units up.
1. Moving 4 units left means you subtract 4 from the x-coordinate.
2. Moving 3 units up means you add 3 to the y-coordinate.
So if you start with a point (x, y), after the translation it becomes:
\[
(x, y) \rightarrow (x - 4, y + 3)
\]
Therefore, the correct option that describes this transformation is:
\[
(x, y) \rightarrow (x - 4, y + 3)
\]
This corresponds to the rule:
\[
(x, y) \rightarrow (x - 4, y + 3)
\]
The correct choice from your listed options is:
**(x, y) -> (x - 4, y + 3)** (Note: I see that option is not directly listed in your choices. Please ensure the listed rule matches this description accurately. The second option "(x, y) -> (x — 4, y + 3)" matches this description).
In this case, the rectangle MNPQ is translated 4 units left and 3 units up.
1. Moving 4 units left means you subtract 4 from the x-coordinate.
2. Moving 3 units up means you add 3 to the y-coordinate.
So if you start with a point (x, y), after the translation it becomes:
\[
(x, y) \rightarrow (x - 4, y + 3)
\]
Therefore, the correct option that describes this transformation is:
\[
(x, y) \rightarrow (x - 4, y + 3)
\]
This corresponds to the rule:
\[
(x, y) \rightarrow (x - 4, y + 3)
\]
The correct choice from your listed options is:
**(x, y) -> (x - 4, y + 3)** (Note: I see that option is not directly listed in your choices. Please ensure the listed rule matches this description accurately. The second option "(x, y) -> (x — 4, y + 3)" matches this description).