text: # Quadratic Vocabulary for Algebra II
  
  ## Vertex
  
  Definition: The point at which the axis of symmetry intersects a parabola.
  
  ## Axis of Symmetry
  
  Definition: A line about which a quadratic function (parabola) is symmetric. The equation used to find the axis of symmetry is shown below.
  
  ## Maximum Value
  
  Definition: The y-coordinate of the vertex of the quadratic function
  
  f(x)=a^2 + bx + c, where a<0
  
  ## Minimum Value
  
  Definition: The y-coordinate of the vertex of the quadratic function
  
  f(x)=ax^2 + bx + c, where a>0
  
  ## Standard Form
  
  Definition: A quadratic equation written in the form: ax^2 + bx+ c=0, where a, b, and c are integers, and a cannot = 0
  
  ## Vertex Form
  
  Definition: A quadratic function in the form y= a(x-h)^2 + k, where (h,k) is the vertex of the parabola and x=h is its axis of symmetry.
  
  ## Intercept Form
  
  Definition: y=a(x-r1)(x-r2)
  
  ## Completing the Square
  
  Definition: All quadratic equations can be solved using the Square Root method Property by manipulating the equation until one side is a perfect square, which is called "completing the square". You are changing the equation from standard form to vertex form.
  
  Follow the Steps below to Complete the Square:
  
  1. Put () around ax^2 + bx
  
  2. Factor the a value from x^2 and x
  
  3. Take 1/2 the middle term and square it
  
  4. Add the number and it's opposite
  
  5. Factor perfect square trinomial
  
  6. Rewrite in the form y= a(x-h)^2 + k (which is vertex form)
explanation: The document provides definitions and explanations for various terms related to quadratic functions in Algebra II, such as vertex, axis of symmetry, maximum and minimum values, standard form, vertex form, intercept form, and completing the square. It does not contain any specific questions or answers to questions.
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distilabel_metadata.content: # Quadratic Vocabulary for Algebra II
  
  ## Vertex
  
  Definition: The point at which the axis of symmetry intersects a parabola.
  
  ## Axis of Symmetry
  
  Definition: A line about which a quadratic function (parabola) is symmetric. The equation used to find the axis of symmetry is shown below.
  
  ## Maximum Value
  
  Definition: The y-coordinate of the vertex of the quadratic function
  
  f(x)=a^2 + bx + c, where a<0
  
  ## Minimum Value
  
  Definition: The y-coordinate of the vertex of the quadratic function
  
  f(x)=ax^2 + bx + c, where a>0
  
  ## Standard Form
  
  Definition: A quadratic equation written in the form: ax^2 + bx+ c=0, where a, b, and c are integers, and a cannot = 0
  
  ## Vertex Form
  
  Definition: A quadratic function in the form y= a(x-h)^2 + k, where (h,k) is the vertex of the parabola and x=h is its axis of symmetry.
  
  ## Intercept Form
  
  Definition: y=a(x-r1)(x-r2)
  
  ## Completing the Square
  
  Definition: All quadratic equations can be solved using the Square Root method Property by manipulating the equation until one side is a perfect square, which is called "completing the square". You are changing the equation from standard form to vertex form.
  
  Follow the Steps below to Complete the Square:
  
  1. Put () around ax^2 + bx
  
  2. Factor the a value from x^2 and x
  
  3. Take 1/2 the middle term and square it
  
  4. Add the number and it's opposite
  
  5. Factor perfect square trinomial
  
  6. Rewrite in the form y= a(x-h)^2 + k (which is vertex form)
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document provides definitions and explanations for various terms related to quadratic functions in Algebra II, such as vertex, axis of symmetry, maximum and minimum values, standard form, vertex form, intercept form, and completing the square. It does not contain any specific questions or answers to questions.
  
  Label: no-question