Question

reasoning \\(\delta qrs\\) is translated 3 units left and 3 units up. how do the x-coordinates of the vertices change? explain. what are the coordinates of q?

how do the x-coordinates of the vertices change?

a. the x-coordinates decrease by 3 because \left\ indicates a negative change.
b. the x-coordinates decrease by 3 because 3 is a positive number.
c. the x-coordinates increase by 3 because 3 is a positive number.
d. the x-coordinates increase by 3 because \left\ indicates a positive change.

Explanation:

Analyze the translation direction

$$ \text{Translation: } 3 \text{ units left, } 3 \text{ units up} $$

Determine the effect on x-coordinates

$$ \Delta x = -3 $$

$$ \text{"Left" translation on coordinate plane} \implies \text{subtraction (negative change)} $$

Evaluate the given options

$$ \text{Option A: decrease by 3 because "left" indicates a negative change} \implies \text{Correct} $$

Answer:

• (A) The x-coordinates decrease by 3 because "left" indicates a negative change. (Correct answer)
• (B) The x-coordinates decrease by 3 because 3 is a positive number.
• (C) The x-coordinates increase by 3 because 3 is a positive number.
• (D) The x-coordinates increase by 3 because "left" indicates a positive change.