172k views
2 votes
Name the parent function family of f(x) = (x-1)^2+3.

1 Answer

6 votes

Final answer:

The parent function family of f(x) = (x-1)^2+3 is the quadratic function family.

Step-by-step explanation:

The parent function family of f(x) = (x-1)^2+3 is the quadratic function family. A quadratic function is a second-order polynomial where the highest power of the variable is 2. In this case, the function f(x) = (x-1)^2+3 represents a quadratic function with a vertex at (1, 3) and opens upwards.

Quadratic functions are represented by the general form y = ax^2 + bx + c, where a, b, and c are constants. In the given function, a = 1, b = -2, and c = 4.

For example, the original function f(x) = (x-1)^2+3 is a specific quadratic function in the quadratic function family, with the transformation of shifting the vertex right 1 unit and up 3 units from the parent function y = x^2.

User Saman Gholami
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories