text: # How do you find the vertex of y= -x^2+ 4x + 2?
  
  ##### 1 Answer
  Dec 27, 2017
  
  $- {\left(x - 2\right)}^{2} + 6$
  
  #### Explanation:
  
  −x^2+4x+2
  
  $\implies - 1 \cdot \left[{x}^{2} - 4 x - 2\right]$
  
  $\implies - 1 \cdot \left[\left({x}^{2} - 2 \cdot 2 x + {2}^{2}\right) - {2}^{2} - 2\right]$
  
  $\implies - 1 \cdot \left[{\left(x - 2\right)}^{2} - 4 - 2\right]$
  
  $\implies - 1 \cdot \left[{\left(x - 2\right)}^{2} - 6\right]$
  
  (-(x-2)^2+6)/
explanation: The document contains a math question and an answer to that question. The question asks how to find the vertex of the quadratic equation \( y = -x^2 + 4x + 2 \). The answer provides a step-by-step explanation of completing the square to rewrite the equation in vertex form, which is \( y = - (x - 2)^2 + 6 \).
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # How do you find the vertex of y= -x^2+ 4x + 2?
  
  ##### 1 Answer
  Dec 27, 2017
  
  $- {\left(x - 2\right)}^{2} + 6$
  
  #### Explanation:
  
  −x^2+4x+2
  
  $\implies - 1 \cdot \left[{x}^{2} - 4 x - 2\right]$
  
  $\implies - 1 \cdot \left[\left({x}^{2} - 2 \cdot 2 x + {2}^{2}\right) - {2}^{2} - 2\right]$
  
  $\implies - 1 \cdot \left[{\left(x - 2\right)}^{2} - 4 - 2\right]$
  
  $\implies - 1 \cdot \left[{\left(x - 2\right)}^{2} - 6\right]$
  
  (-(x-2)^2+6)/
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question and an answer to that question. The question asks how to find the vertex of the quadratic equation \( y = -x^2 + 4x + 2 \). The answer provides a step-by-step explanation of completing the square to rewrite the equation in vertex form, which is \( y = - (x - 2)^2 + 6 \).
  
  Label: question-and-answer