text: Search 75,921 tutors
  
  ## Conic Section and Remember the Basics
  
  We were using this info to find the equations and the graphs of the conic sections: ellipses, hyperbola, and parabola. The vertex are the farthest most point(s) on the line. There are major and minor axes with ellipses. A and B are the radii for the axes. When finding the slope, remember to use y2-y1/x2-x1. To find point slope form, plug in the point and slope into y-y1=m(x-x1). Then simplify to YMCA aka Y=mx+b, where m is the slope and b is the y intercept. Remember to identify the center first(opposite signs). Identify A and B and a^2 and b^2. For the focal distance in parabolas, use F=(1)/4A. For the A that represents direction in parabolas, use A=(1)/4F. Also, the foci is the same distance from the conic, as the conic is from the directrix. To find the slope of a hyperbola just rise over run the box from the center. I will go into more detail later!
explanation: The document provides a summary of key concepts and formulas related to conic sections, including ellipses, hyperbolas, and parabolas. It covers topics such as vertices, axes, slopes, point-slope form, and focal distances. However, it does not contain a specific question or a question and answer.
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: Search 75,921 tutors
  
  ## Conic Section and Remember the Basics
  
  We were using this info to find the equations and the graphs of the conic sections: ellipses, hyperbola, and parabola. The vertex are the farthest most point(s) on the line. There are major and minor axes with ellipses. A and B are the radii for the axes. When finding the slope, remember to use y2-y1/x2-x1. To find point slope form, plug in the point and slope into y-y1=m(x-x1). Then simplify to YMCA aka Y=mx+b, where m is the slope and b is the y intercept. Remember to identify the center first(opposite signs). Identify A and B and a^2 and b^2. For the focal distance in parabolas, use F=(1)/4A. For the A that represents direction in parabolas, use A=(1)/4F. Also, the foci is the same distance from the conic, as the conic is from the directrix. To find the slope of a hyperbola just rise over run the box from the center. I will go into more detail later!
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document provides a summary of key concepts and formulas related to conic sections, including ellipses, hyperbolas, and parabolas. It covers topics such as vertices, axes, slopes, point-slope form, and focal distances. However, it does not contain a specific question or a question and answer.
  
  Label: no-question