Quadratic Functions

• What is the expression to be rewritten in the form (x-a)²+b?


  x²-6x+8
• What is the completed square form of the expression x²-6x+8?

  (x-3)²-1
• What is the factored form of the expression x²-9?

  (x+3)(x-3)
• What is the expanded form of (x-3)²?

  x²-6x+9
• What are the coordinates of the turning point of the graph of y=x²-6x+8?

  (3,-1)
• What is the vertex form of the quadratic function y=x²-6x+8?

  y=(x-3)²-1
• What are the coordinates of the vertex of the quadratic function y=x²-6x+8?

  (3,-1)
• What is the y-intercept of the quadratic function y=x²-6x+8?

  (0,8)
• How do you find the turning point of a quadratic function in standard form?

  Complete the square or use vertex formula
• If the quadratic function is y=x²-6x+8, what is the value of y when x=3?

  y=-1
• What is the significance of the turning point in a quadratic function?

  It indicates the maximum or minimum value
• What does the term 'turning point' refer to in the context of a quadratic function?

  The point where the graph changes direction
• What is the standard form of a quadratic function?

  y=ax²+bx+c