## 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
The provided text passage is primarily an educational explanation of symmetry in graphs, including definitions and examples of symmetry around the x-axis, y-axis, and the origin. It also includes a linear equation and a question about the volume of a cube, but these are not directly related to the main content on symmetry.
no_question

the passage does not contain a mathematical question that requires solving. the equation and the volume question are mentioned but not framed as questions to be answered within the text.
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
## 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
user
The provided text passage is primarily an educational explanation of symmetry in graphs, including definitions and examples of symmetry around the x-axis, y-axis, and the origin. It also includes a linear equation and a question about the volume of a cube, but these are not directly related to the main content on symmetry.

TYPE: NO_QUESTION

The passage does not contain a mathematical question that requires solving. The equation and the volume question are mentioned but not framed as questions to be answered within the text.