Answer :
The quadratic parent function is f(x) = x^2. (Option A)
In mathematics, family of functions refers to a group of functions that have the same degree or form. The examples of families of functions include linear functions, quadratic functions, square root functions, and absolute value functions. A parent function refers to the simplest function of a family of functions that preserves the definition of the entire family where the graph does not experience any transformations. The parent function of a quadratic equation is f(x) = x^2, whose graph has a vertex at the origin and experiences no vertical stretch or shrink. The other three options would be translated or transformed, hence are not the parent function of the quadratic equation.
Note: The question is incomplete. The complete question probably is: Which of these is the quadratic parent function? A. f(x) = x^2 B. f(x) = x^2 + 3 C. f(x) = x^2 – 5 D. f(x) = –4x^2
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