The sequences of transformations that could be applied to the parent function, f(x) = x, to obtain the graph are; Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units.
<h3>How to carry out transformations?</h3>
We are given the parent function:
f(x) = x
If we draw it on the coordinate plane, then the transformed function when compared to the original function will be gotten as: y = -2x + 6
Now, the only way that the given graph can be transformed to the coordinates given in the question is;
Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units.
Read more about Transformations at; brainly.com/question/4289712
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