Question

Function g can be thought of as a translated (shifted) version of f(x)=x^2.

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Answer 1

g(x) = x² - 3

Explanation:

A quadratic function has been given as,

f(x) = x²

If the function f is translated by 'h' unit down over the y-axis, the new function obtained by the translation is,

g(x) = x² - h

From the graph attached, h = 3 units (shift of 3 units downwards)

Therefore, g(x) = x² - 3 will be the translated version of f(x).