Question

Circle A was translated 3 units to the left and 4 units up to create Circle B. Which rule describes the translation that was applied to Circle A to create Circle B?

Answer 1

Answer:

$B = (x - 3, y + 4)$

Step-by-step explanation:

Given

Represent the coordinates of circle A with (x,y)

Translation

Left = 3 units

Up = 4 units

Required

Determine the coordinates of B

When a point (x,y) is translated by h units left, the new point is: (x - h, y)

When a point (x,y) is translated by b units up, the new point is: (x, y + b)

So, when circle A is completely translated to B, the new points of B is:

$B = (x - h, y + b)$

In this case:

$h = 3\ and\ b = 4$

So:

$B = (x - 3, y + 4)$