Question

If f(x)=x^2 is horizontally compressed to g(x), which could be the equation of g(x)?

Answer 1

For the definition of horizontal compression, the function f(x) = x² is horizontally compressed to the function g(x) = (k · x)², for 0 < k < 1.  

How to find the resulting equation after applying a compression

Here we must narrow a given function by a rigid operation known as compression. Rigid transformations are transformations in which Euclidean distances are conserved. In the case of functions, we define the horizontal compression in the following manner:

g(x) = f(k · x), for 0 < k < 1     (1)

If we know that f(x) = x², then the equation of g(x) is:

g(x) = (k · x)², 0 < k < 1

For the definition of horizontal compression, the function f(x) = x² is horizontally compressed to the function g(x) = (k · x)², for 0 < k < 1.      

To learn more on rigid transformations: brainly.com/question/1761538

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