Finding equations w/ two given points:

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Homework Help Overview

The discussion revolves around finding an equation based on two given points, specifically (-3, 0) and (-0.5, 0). The subject area involves algebra and functions, particularly focusing on quadratic equations and their properties.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to derive a quadratic equation using the given points, but there is confusion regarding the calculations. Some participants question the assumption of a quadratic function, suggesting that two points can define a straight line instead.

Discussion Status

The discussion includes attempts to clarify the nature of the function that can be formed from the points. Some guidance is offered regarding the correct interpretation of the points and the types of functions that can pass through them. Multiple interpretations of the problem are being explored.

Contextual Notes

There is a mention of the original poster's focus on quadratic equations, which may influence the direction of the discussion. The nature of the problem allows for various functions to be considered, leading to a broader exploration of mathematical concepts.

AznBoi
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Ok there are two give points and I need to find the equation:

Points: (-3,0), (-.5,0)

My work:

y=(x+3)(x+.5)
y=x^2+.5x+3x+15

Completed the square:

-15= x^2+3.5x
-15=x^2+3.5x+3.0625
-11.9375=(x+1.75)^2
y= (x+1.75)^2+11.9375

What did I do wrong??
 
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[tex]y = (x+3)(x+.5) = x^{2}+3.5x + 1.5[/tex]

you multiplied 3 by 5, instead of 3 by 0.5
 
ohhh lol thanks.
 
Why did you assume a quadratic function? Two points determine a straight line. The constant function y= 0 passes through (-3, 0), (-5, 0).
In fact there are an infinite number of functions whose graph pass through those two points.
 
Halls, he meant the zeros of the function. He is doing quadratic equations after all.
 

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