1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ksju [112]
1 year ago
10

Analytically determine what type(s) of symmetry, if any, the graph of the equation would possess. Show your work.23) 2x^2 -3 = 4

|y|

Mathematics
1 answer:
Korvikt [17]1 year ago
4 0

Answer:

The graph is symmetric about the x-axis, the y-axis, and the origin

Explanation:

A graph can be symmetric about the x-axis, about the y-axis, and about the origin.

To know if the graph is symmetric about the x-axis, we need to replace y by -y and determine if the equation is equivalent. So,

If we replace y with -y, we get:

\begin{gathered} 2x^2-3=4|-y| \\ 2x^2-3=4|y| \end{gathered}

Therefore, the graph is symmetric about the x-axis.

The graph is symmetric about the y-axis if we replace x by -x and we get an equivalent equation. So:

\begin{gathered} 2(-x)^2-3=4|y| \\ 2x^2-3=4|y| \end{gathered}

Since both equations are equivalent, the graph of the equation is symmetric about the y-axis

The graph is symmetric about the origin if we replace x by -x and y by -y and we get an equivalent equation. So:

\begin{gathered} 2(-x)^2-3=4|-y| \\ 2x^2-3=4|y| \end{gathered}

Therefore, the graph is symmetric about the origin.

You might be interested in
Write and equation in standard form of the line shown.
KIM [24]

m=5

b=0

y=5x+0

trust me

7 0
3 years ago
Can u tell me what the answer is plz
yuradex [85]

Answer:

D, B, C, A

Step-by-step explanation:

Solve the equations by combining like terms, isolating the variable, and dividing the equation by the coefficient of the variable.

Doing this, the first equation should be 2, the second equation should be -2, the third equation should be -1, and the last equation should be -6.

Then, we can order them.

8 0
3 years ago
Most interesting way to write 6 billion is...? Why?
ycow [4]

Answer:

Its 6 bill because people think its flashy

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Soccer or golf? im giving brainliest if that sounds good to you guys.​
vovikov84 [41]

Answer:

soccer bruv

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the vertex of the parabola given by y= -(x-2)^2-1?
melisa1 [442]
The vertex is (2,-1). Thats your answer.
6 0
3 years ago
Other questions:
  • Divide the following polynomial, then place the answer in the proper location on the grid.
    12·2 answers
  • What is 1000 times 10
    5·2 answers
  • Please just this couple of questions. Help me pleaseee
    6·1 answer
  • Commission of sales is 8% and worker earns $2,560 commission. what are sales?
    14·1 answer
  • 130 divided by 2.5 equals
    6·2 answers
  • X + y = -2<br> -x + y = 6<br> Solve the linear system
    7·1 answer
  • Can someone help with the picture please?
    13·1 answer
  • If &lt; ABC forms a linear pair with &lt; CBD, use the linear pair postulate to determine the value of X. Then find the measure
    7·1 answer
  • 42 + 6 divided by 2 + 2 (1.5) Evaluate
    9·2 answers
  • PLEASE HELP SOON! Please answer the question and explain step by step how you got your answer. Julian is using a biking app that
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!