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The family of curves defined by the equation y = a(x - h)^2 + k represents which

Practice Questions

Q1
The family of curves defined by the equation y = a(x - h)^2 + k represents which type of function?
  1. Linear
  2. Quadratic
  3. Cubic
  4. Rational

Questions & Step-by-Step Solutions

The family of curves defined by the equation y = a(x - h)^2 + k represents which type of function?
  • Step 1: Identify the equation given, which is y = a(x - h)^2 + k.
  • Step 2: Notice that the equation has a squared term, (x - h)^2.
  • Step 3: Recognize that any equation with a variable squared (like x^2) is a quadratic function.
  • Step 4: Understand that this specific form, y = a(x - h)^2 + k, is called vertex form of a quadratic function.
  • Step 5: Conclude that the family of curves represented by this equation is indeed a quadratic function.
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