Quadratic Function Q&A: Working w/ Numbers Below 10

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Discussion Overview

The discussion revolves around understanding quadratic functions, specifically how to evaluate them with numbers below 10. Participants are exploring the correct application of the quadratic formula and the calculations involved in deriving values from given inputs.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant asks if a quadratic function can be set to a single number and whether it can be larger than 5 while working with numbers below 10.
  • Another participant clarifies that for a quadratic function expressed as y = ax² + bx + c, any number can be chosen for x to calculate y.
  • A participant expresses confusion about the notation and calculations, particularly regarding the interpretation of Y² and the operations involved in finding values.
  • Another participant critiques the clarity of the previous explanations and emphasizes the importance of consistent variable usage and correct mathematical operations.
  • There is a specific example provided where N = 5 is used to calculate y = 3N² + 4, leading to a final value of 79.

Areas of Agreement / Disagreement

Participants generally agree on the process of evaluating quadratic functions, but there is disagreement and confusion regarding notation and the correct interpretation of the operations involved.

Contextual Notes

There are limitations in clarity regarding variable notation (switching between Y and N) and the understanding of exponentiation and multiplication operations, which may affect the participants' ability to communicate their ideas effectively.

hell18
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2 questions

1.can a quadratic function be just set to 1 number e.g. 5 or can it be a bigger number. at the moment I am working on numbers below 10 to get used to the formulas.

2. is this correct how i am doing it?

formula

N --> N2--> 3N2 + 4

e.g.

N =5

5 x 5 = 25 = N2

5 x 25 = 75 = 3N2

N = 79 answer

is that correct?
 
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Your questions are awkwardly written but I think what you want is:

given y= ax2+ bx+ c, you can choose x to be any number you want, then calculate y.

In particular, if y= 3N2+ 4, you would, just as you say, first, find N2, then multiply by 3, then add 4.
 
thats it, yea I am still practicing the equations. i thought Y2 were that if you had Y = 5 then Y2. Then to find Y2 we multiply the 5 by in this case Y2 to get 25 as Y2 would be 25 then mutliply 3N2 by the 25 to get 75 + 4 to get 79

is that ok?:smile:
 
I'm assuming that English is not your native language so I won't be quite as harsh as I could be!

that's it, yea I am still practicing the equations. i thought Y2 were that if you had Y = 5 then Y2. Then to find Y2 we multiply the 5 by in this case Y2 to get 25 as Y2 would be 25 then mutliply 3N2 by the 25 to get 75 + 4 to get 79

Much of this makes no since at all: "i thought Y2 were that if you had Y = 5 then Y2." Then what?? I assume you meant to write "then Y2= 52".

But you also write "Then to find Y2 we multiply the 5 by in this case Y2". No, you multiply 5 by itself- that's what "2" means.

"then mutliply 3N2 by the 25". No, "N2" is 25. You only multiply the 3 by 25. By the way, it's a really, really bad idea to suddenly switch from "Y" to "N".

To calculate 3N2+ 4, for N= 5, you replace the N by 5:
3(5)2+ 4= 3(25)+ 4= 75+ 4= 79.
 

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