Respuesta :

Using translation concepts, the equation of the graph F(x) is given as follows:

F(x) = -x² - 3.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Researching this problem on the internet, the graph of G(x) = x² was reflected over the axis(multiplied by -1), and shifted down 3 units(F(x) -> G(-x) - 3), hence the equation for F(x) is:

F(x) = -x² - 3.

More can be learned about translation concepts at https://brainly.com/question/4521517

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