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29 August, 23:10

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

f (x+3) - 1

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Answers (1)
  1. 29 August, 23:41
    0
    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)
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