Quadratic Graph

Cards (7)

  • What is the completed square form of a quadratic equation?
    k(x+p)² + q
  • How is the value of p or q determined in the completed square form?
    By substituting the turning point
  • What is the next step after finding p or q from the turning point?
    Substitute another point to find k
  • What happens to the equation if the turning point is (0,0)?
    The equation simplifies to y = k(x)²
  • What are the steps to find the equation of a quadratic graph from a turning point?
    1. Use the completed square form: k(x+p)² + q
    2. Substitute the turning point to find p or q
    3. Substitute another point to find k
    4. If the turning point is (0,0), simplify to y = k(x)²
  • What is the significance of the turning point in finding the quadratic equation?
    It helps determine p and q values
  • Why are p and q considered useless when the turning point is (0,0)?
    Because they do not affect the equation