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

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

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)`