Answer :

The transformations are that the graph is stretched by a vertical factor of 2 and is moved 7 units up.

We are given the functions as:

f(x) = x²

g(x) = 2x² - 7

We need to describe the transformations from f(x) to g(x).

g(x) can be written as:

g(x) + 7 = 2x²

Since x is multiplied with 2, we can say that:

Transformation is: Stretch by a vertical factor of 2.

Since, y coordinate change by 7,

Transformation is: graph is moved 7 units up.

Therefore, we get that the transformations are that the graph is stretched by a vertical factor of 2 and is moved 7 units up.

Learn more about transformations here:

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