A triangle on a coordinate plane is translated according to the rule T–8, 4(x, y). Which is another way to write this rule?

Question

(x, y) → (x + 4, y – 8)
(x, y) → (x – 4, y – 8)
(x, y) → (x – 8, y + 4)
(x, y) → (x + 8, y – 4)

Answer 1

The translation rule T–8, 4(x, y) means that you are moving the triangle 8 units down (which corresponds to subtracting 8 from the y-coordinate) and 4 units to the right (which corresponds to adding 4 to the x-coordinate).

To express this translation mathematically:

• For the x-coordinate: \(x \to x + 4\)
• For the y-coordinate: \(y \to y - 8\)

So, the overall translation can be written as:

\[ (x, y) \to (x + 4, y - 8) \]

Thus, the correct answer is:

(x, y) → (x + 4, y – 8).