text: ## Symmetry, Algebra
  
  Assignment Help:
  
  In this section we will take a look at something that we utilized back while we where graphing parabolas.  Though, we're going to take a more common view of it this section. Several graphs have symmetry to them.
  
  In graphing Symmetry can be useful an equation as it says that if we know one portion of the graph then we will also know the left over (and symmetric) portion of the graph as well. We utilized this fact while we were graphing parabolas to obatin an extra point of some of the graphs.
  
  In this section we desire to look at three types of symmetry.
  
  1.   A graph is said to be symmetric around the x-axis if whenever ( a, b) is on the graph then hence is ( a, -b ) .  Following is a sketch of a graph which is symmetric around the x-axis.
  
  1.      A graph is said to be symmetric around the y-axis if whenever ( a, b) is on the graph then hence is ( -a, b ) .  Following is a sketch of a graph which is symmetric around the y-axis.
  
  3.   A graph is said to be symmetric around the origin if whenever ( a, b ) is on the graph then hence is ( -a, -b ) .  Following is a sketch of a graph which is symmetric around the origin.
  
  Note that most of the graphs don't have any sort of symmetry.  Also, it is possible for a graph to have more than one type of symmetry. For instance the graph of a circle centered at the origin exhibits all three kinds of symmetries.
  
  3x+5y=10
  
  #### Ratio, If there is 1/4 of item X for every 7/12 of item Y, how much of item...
  
  If there is 1/4 of item X for every 7/12 of item Y, how much of item X is there for 7/10 of item Y?
  
  f(x)=xsqr-1
  
  25/30=x/12
  
  #### Solving polynomial equations, can you explain to me how to solve x^3+x+5
  
  can you explain to me how to solve x^3+x+5
  
  log(mn)
  
  #### Identities to cubes, what is the volume of a cube with side length 4 ?
  
  what is the volume of a cube with side length 4 ?
  
  #### Rings homomorphisms, if A is an ideal and phi is onto S,then phi(A)is an id...
  
  if A is an ideal and phi is onto S,then phi(A)is an ideal.
  
  #### Slopes, determine slope of 2y = -x + 10
  
  determine slope of 2y = -x + 10
  
  45
explanation: The provided text is an educational excerpt discussing the concept of symmetry in graphs, specifically in the context of algebra. It describes three types of symmetry: symmetry around the x-axis, symmetry around the y-axis, and symmetry around the origin. The text also includes a linear equation (3x + 5y = 10) and a brief note about the volume of a cube, but these are not directly related to the main topic of symmetry.
  
  The text does not contain a clear question or a question-and-answer pair.
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: ## Symmetry, Algebra
  
  Assignment Help:
  
  In this section we will take a look at something that we utilized back while we where graphing parabolas.  Though, we're going to take a more common view of it this section. Several graphs have symmetry to them.
  
  In graphing Symmetry can be useful an equation as it says that if we know one portion of the graph then we will also know the left over (and symmetric) portion of the graph as well. We utilized this fact while we were graphing parabolas to obatin an extra point of some of the graphs.
  
  In this section we desire to look at three types of symmetry.
  
  1.   A graph is said to be symmetric around the x-axis if whenever ( a, b) is on the graph then hence is ( a, -b ) .  Following is a sketch of a graph which is symmetric around the x-axis.
  
  1.      A graph is said to be symmetric around the y-axis if whenever ( a, b) is on the graph then hence is ( -a, b ) .  Following is a sketch of a graph which is symmetric around the y-axis.
  
  3.   A graph is said to be symmetric around the origin if whenever ( a, b ) is on the graph then hence is ( -a, -b ) .  Following is a sketch of a graph which is symmetric around the origin.
  
  Note that most of the graphs don't have any sort of symmetry.  Also, it is possible for a graph to have more than one type of symmetry. For instance the graph of a circle centered at the origin exhibits all three kinds of symmetries.
  
  3x+5y=10
  
  #### Ratio, If there is 1/4 of item X for every 7/12 of item Y, how much of item...
  
  If there is 1/4 of item X for every 7/12 of item Y, how much of item X is there for 7/10 of item Y?
  
  f(x)=xsqr-1
  
  25/30=x/12
  
  #### Solving polynomial equations, can you explain to me how to solve x^3+x+5
  
  can you explain to me how to solve x^3+x+5
  
  log(mn)
  
  #### Identities to cubes, what is the volume of a cube with side length 4 ?
  
  what is the volume of a cube with side length 4 ?
  
  #### Rings homomorphisms, if A is an ideal and phi is onto S,then phi(A)is an id...
  
  if A is an ideal and phi is onto S,then phi(A)is an ideal.
  
  #### Slopes, determine slope of 2y = -x + 10
  
  determine slope of 2y = -x + 10
  
  45
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The provided text is an educational excerpt discussing the concept of symmetry in graphs, specifically in the context of algebra. It describes three types of symmetry: symmetry around the x-axis, symmetry around the y-axis, and symmetry around the origin. The text also includes a linear equation (3x + 5y = 10) and a brief note about the volume of a cube, but these are not directly related to the main topic of symmetry.
  
  The text does not contain a clear question or a question-and-answer pair.
  
  Label: no-question