a square on a coordinate plane is translated 9 units down and 1 unit to the right. which function rule…

a square on a coordinate plane is translated 9 units down and 1 unit to the right. which function rule describes the translation?\n\n$t_{1, -9}(x, y)$\n$t_{-1, -9}(x, y)$\n$t_{-9, 1}(x, y)$\n$t_{-9, -1}(x, y)$

a square on a coordinate plane is translated 9 units down and 1 unit to the right. which function rule describes the translation?\n\n$t_{1, -9}(x, y)$\n$t_{-1, -9}(x, y)$\n$t_{-9, 1}(x, y)$\n$t_{-9, -1}(x, y)$

Answer

Explanation:

Step1: Identify the horizontal translation component

Moving 1 unit to the right corresponds to adding 1 to the $x$-coordinate. $$h = 1$$

Step2: Identify the vertical translation component

Moving 9 units down corresponds to subtracting 9 from the $y$-coordinate. $$k = -9$$

Step3: Formulate the translation notation

The notation $T_{h, k}(x, y)$ represents a translation of $h$ units horizontally and $k$ units vertically. $$T_{1, -9}(x, y)$$

Answer:

$T_{1, -9}(x, y)$