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The family of curves defined by the equation y = ax^2 + bx + c is known as:

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Question: The family of curves defined by the equation y = ax^2 + bx + c is known as:

Options:

  1. Linear functions
  2. Quadratic functions
  3. Polynomial functions
  4. Rational functions

Correct Answer: Quadratic functions

Solution: 

The equation y = ax^2 + bx + c represents a quadratic function.

The family of curves defined by the equation y = ax^2 + bx + c is known as:

Practice Questions

Q1
The family of curves defined by the equation y = ax^2 + bx + c is known as:
  1. Linear functions
  2. Quadratic functions
  3. Polynomial functions
  4. Rational functions

Questions & Step-by-Step Solutions

The family of curves defined by the equation y = ax^2 + bx + c is known as:
  • Step 1: Identify the equation given, which is y = ax^2 + bx + c.
  • Step 2: Recognize that this equation is in the form of a polynomial of degree 2.
  • Step 3: Understand that a polynomial of degree 2 is called a quadratic function.
  • Step 4: Conclude that the family of curves defined by this equation is known as quadratic functions.
  • Quadratic Functions – The equation y = ax^2 + bx + c represents a quadratic function, which is a polynomial of degree 2.
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