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Which of the following represents a family of curves for the equation y = ax^2 +

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Question: Which of the following represents a family of curves for the equation y = ax^2 + bx + c?

Options:

  1. Linear functions
  2. Quadratic functions
  3. Cubic functions
  4. Exponential functions

Correct Answer: Quadratic functions

Solution: 

The equation y = ax^2 + bx + c represents a family of quadratic functions where \'a\', \'b\', and \'c\' are constants.

Which of the following represents a family of curves for the equation y = ax^2 +

Practice Questions

Q1
Which of the following represents a family of curves for the equation y = ax^2 + bx + c?
  1. Linear functions
  2. Quadratic functions
  3. Cubic functions
  4. Exponential functions

Questions & Step-by-Step Solutions

Which of the following represents a family of curves for the equation y = ax^2 + bx + c?
  • Step 1: Understand that the equation y = ax^2 + bx + c is a quadratic equation.
  • Step 2: Recognize that 'a', 'b', and 'c' are constants that can change.
  • Step 3: Realize that changing the values of 'a', 'b', and 'c' will create different curves (graphs) of the equation.
  • Step 4: Know that all these different curves together form a 'family of curves'.
  • Step 5: Conclude that the equation y = ax^2 + bx + c represents a family of quadratic functions.
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