Answer :

The transformation rule is; move the function f(x) by 4 units downwards and then by 2 units to the left.

What is the Transformation of the given Graph?

Transformations simply takes the basic function and transforms it to another function.

The rules of transformation are;

  • f(x) transformed to f(x) + a means that the function will be moved 'a' units upwards.
  • f(x) transformed to f(x) - a means that the function will be moved 'a' units downwards.
  • f(x) transformed to f(x + a) means that the function will be moved 'a' units to the left.
  • f(x) transformed to f(x - a) means that the function will be moved 'a' units to the right

The point on f(x) given has the coordinate (7, 5).

Now, we want to transform the point on f(x) to a point on g(x) with the coordinate (5, 1).

Thus, to get this, the transformation rule is;

(x, y) = (x - 2, y - 4)

Thus, this means move the function 4 units downwards and then by 2 units to the left.

Read more about Transformations at; https://brainly.com/question/4289712

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