Given the coordinate (3,-2) which is on f (x). Name the transformation and give the new coordinates.

f (x+3) - 1

The new coordinate is (0,-3)

Step-by-step explanation:

Given Function = f (x)

Formula of horizontal shift to c units to left:

h (x) = f (x+c)

So, f (x+3) is horizontal shift to 3 units to left

Formula of vertical shift to c units downwards:

h (x) = f (x) - c

So, f (x+3) - 1 is vertical shift to 1 units downwards

So, The new function f (x+3) - 1 is horizontal shift to 3 units to left and vertical shift to 1 units downwards

Given coordinates : (3,-2)

Shift 3 units to left

So, New coordinate = (3-3,-2) = (0,-2)

Shift 1 unit downwards

So, New coordinate = (0,-2-1) = (0,-3)

Hence The new coordinate is (0,-3)