Question

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?

A. (x, y) - (x – 4, Y-8)
B. (x, y) - (x + 8, y - 4)
C. (x, y) + (x - 8, y + 4)
D. (x, y) → (x + 4, y - 8)

Answer 1

The rule T-8, 4(x, y) translates a point on the coordinate plane by moving it 8 units left and 4 units up, resulting in new coordinates (x - 8, y + 4), or answer B with a typographical correction.

Step-by-step explanation:

The student's question involves translating a triangle on a coordinate plane according to the rule T-8, 4(x, y). This rule means that we are moving the triangle 8 units to the left (negative direction along the x-axis) and 4 units up (positive direction along the y-axis). The correct way to write this as a new ordered pair would be taking each point (x, y) of the triangle and applying the translation to get the new point (x - 8, y + 4).Therefore, the answer is B. (x, y) → (x + 8, y - 4), which is just a typo and should be (x, y) → (x - 8, y + 4) correctly interpreted as every x-coordinate decreases by 8 and every y-coordinate increases by 4.