Quadratic equation applying to graphs

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SUMMARY

This discussion centers on understanding how to graph quadratic equations, specifically focusing on finding the vertex, line of symmetry, and maximum or minimum points. The user seeks resources to learn these concepts and mentions the equation 2^x + x^2 = 1, asking for proof of its two solutions. Several educational websites are recommended, including resources from UNC Wilmington and WTAMU, which provide guidance on quadratic functions and their graphical representations.

PREREQUISITES
  • Understanding of quadratic equations and their standard form.
  • Familiarity with graphing techniques for parabolas.
  • Knowledge of vertex form and how to derive it from standard form.
  • Basic algebra skills for manipulating equations and inequalities.
NEXT STEPS
  • Explore the concept of vertex form in quadratic equations.
  • Learn how to derive the line of symmetry from a quadratic equation.
  • Study the graphical interpretation of quadratic functions using online graphing tools.
  • Practice solving quadratic inequalities and converting them into graphable forms.
USEFUL FOR

Students learning algebra, educators teaching quadratic functions, and anyone looking to enhance their skills in graphing parabolas and understanding their properties.

dilan
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Hi,

I just need to learn in drawing graphs using a quadratic equation. Also I need to know how to find the minimum and maximum point and the line of cemetry from the equation (I need to know by proving it in the equation)

Has anyone got any website to clearly learn about this? I know quadratic equations but just coming into the graphings. So just need to know about graphing using the equation.

Please if you have any website post it here.

Thank you very much:smile:
 
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solve tis problem:
2^x+x^2=1
Prove that this equation has only two solutions,
 
i.mehrzad said:
solve tis problem:
2^x+x^2=1
Prove that this equation has only two solutions,

How does this have anything at all to do with dilan's question?
 
Ya a bit confusing

I can't really understand what you are saying i.mehrzad?:confused:
I need about graphing and some more to know that I added in the above post.
 
dilan said:
I can't really understand what you are saying i.mehrzad?:confused:
I need about graphing and some more to know that I added in the above post.

Maybe what he was trying to say is practice.

Websites can teach you a little bit, but they always finish with practice.
 
Well I know

Well I know about the quadratic equations and how to solve them. But I have a bit of trouble in the graphs (The one that turn). I want to know how to find the line of cemetry and the maximum and the least points (I think this is called the vertex) from the equation it self. I want them proved also.

Drawing the graph is simple with the equation given. But I need to know how to get like say
2x+3> x+4

converted into the graph type of equation and solve every thing without the graph like finding the vertex and finding the line of cemetry.
Thanks
 
Maybe a little physical interpretation can help.
Regard the quadratic equation as a model for the motion of a projectile. The extremum occurs when the instantaneous velocity (the slope on a position vs time graph) is zero.

Here's a question for you:
can you interpret the average of the roots of your quadratic?
 
I am just checking the links

I am checking the links. Looks really good. Hey really thanks for the information. :smile:
I hope that I will be ablt to find the answers that I am looking for.

Thanks
 

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