The function g(x) that represents the three transformations is g(x) = - f(x - 1) - 6.
What kind of rigid transformations can be used to transform a point and a function thrice?
Before answering, we shall remind the reader that this statement offers an open problem, that is, a problem that offers the posibility of more than a solution. Herein we show only one of all possible solutions to obtain a given point and the function behind the point:
First transformation - Translate the point and the function a unit in + x direction:
(x, y) = (1, 1) + (1, 0)
(x, y) = (2, 1)
f'(x) = f(x - 1)
Second transformation - Translate the point and the function six units in + y direction:
(x, y) = (2, 1) + (0, 6)
(x, y) = (2, 7)
f''(x) = f'(x) + 6
f''(x) = f(x - 1) + 6
Third transformation - Reflect the point and the function about the x-axis:
(x, y) = (2, - 7)
g(x) = - f''(x)
g(x) = - f(x - 1) - 6
The function g(x) that represents the three transformations is g(x) = - f(x - 1) - 6.
To learn more on rigid transformations: https://brainly.com/question/1761538
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