What is the parent function of a quadratic function?
Understand the Problem
The question is asking for the basic or 'parent' function that defines the properties of quadratic functions. The parent function serves as the simplest form of a quadratic equation, which is typically expressed as y = x². This function demonstrates the general shape and behavior of all quadratic functions.
Answer
f(x) = x^2
The final answer is f(x) = x^2
Answer for screen readers
The final answer is f(x) = x^2
More Information
The parent function of a quadratic function is the simplest form of a quadratic equation, which is y = x^2 or f(x) = x^2. It represents a parabola that opens upwards with its vertex at the origin (0,0).
Sources
- Quadratic Functions - Purplemath - purplemath.com
- Parabolas and Quadratic Functions - Math is Fun - mathsisfun.com
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