completing the square

• What is the general form of a quadratic equation in vertex form?

  y = k (x + p)² + q
• What does the point (-p, q) represent in a parabola?

  It is the turning point of the parabola
• What is the equation of the axis of symmetry for a parabola?

  x = -p
• Given the turning point (-2, -4), what is the equation of the parabola with k = 1?

  y = (x + 2)² - 4
• For the turning point (3, 0), what are the values of -p and q?

  -p = 3, q = 0
• What is the equation of the parabola with turning point (3, 0) and k = 1?

  y = (x - 3)²
• What does completing the square help to identify in a quadratic equation?

  It helps to find the turning point
• In the equation y = k (x + p)² + q, what does k indicate when it is positive?

  Quadratics are happy (open upwards)
• What is the turning point for the values -p = -2, p = 2, and q = -4?

  Turning point is (2, -4)
• What is the axis of symmetry for the turning point (2, -4)?

  x = 2
• For the turning point (7, 2), what are the values of -p and q?

  -p = 7, q = 2
• What is the equation of the parabola with turning point (7, 2) and k = -1?

  y = -(x - 7)² + 2
• What is the axis of symmetry for the parabola with turning point (7, 2)?

  x = 7
• In the equation y = (x + a)² + b, what do a and b represent?

  a is the x-coordinate, b is the y-coordinate
• For the turning point (2, 1), what is the equation of the parabola with k = 1?

  y = (x + 2)² + 1
• What is the axis of symmetry for the turning point (2, 1)?

  x = 2
• For the turning point (1, 6), what is the equation of the parabola with k = 1?

  y = (x + 1)² + 6
• What is the axis of symmetry for the turning point (1, 6)?

  x = 1