Solve Quadratic Equation Given Roots & Point

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Homework Help Overview

The problem involves finding the standard form of a quadratic equation given its roots and a point through which it passes. The specified roots are -2 and 8, and the point provided is (-1, 16).

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the form of the quadratic equation based on the given roots and the intersecting point. There is a suggestion to express the equation as f(x) = a(x - 8)(x + 2) and to determine the value of 'a' that satisfies f(-1) = 16. Questions about the nature of quadratics and functions are also raised.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem and clarifying the nature of quadratics. Some guidance has been offered regarding the form of the equation, but no consensus has been reached on the specific steps to take next.

Contextual Notes

There is a focus on understanding the relationship between the roots, the point, and the standard form of the quadratic equation. Participants are questioning the definitions and characteristics of quadratics and functions.

HELP_ME123
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one of my homework questions is asking to find the equation in standard form when given the roots and one intersecting point. The roots are -2 and 8 and
point given is -1,16. any help much appreciated.
 
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Is this a quadratic? [tex]f(x) = a(x - h)^2 + k[/tex]
 
Last edited:
HELP_ME123 said:
one of my homework questions is asking to find the equation in standard form when given the roots and one intersecting point. The roots are -2 and 8 and
point given is -1,16. any help much appreciated.

So you know it must be of the form f(x)= a(x-8)(x+2) in order to have those roots. What must a be so that f(-1)= 16?
 
courtrigrad said:
Is this a quadratic? [tex]f(x) = a(x - h)^2 + k[/tex]

it could be its. a function, if you know what that is. for every x value there is only one y value, yes it is possible it's a quadratic.
 
I believe courtrigrad knows what a function is! I suspect his original response was asking whether you know what a quadratic is!:smile:
 

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