Graphing Equations Homework: Identifying Graph to Formula

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Homework Help Overview

The discussion revolves around identifying the correct graph corresponding to the equation y = 4√(x-2) - 6. Participants are examining the relationship between the graph and the formula, questioning their interpretations and the accuracy of the graph representation.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to find the zeros of the equation and are questioning the validity of their calculations and the graph's representation. There are discussions about the values of y at specific x values and the implications of the graph's scale.

Discussion Status

The discussion is active, with participants providing insights and corrections regarding the equation and its graphical representation. Some have suggested that the graph may be misrepresented due to scaling issues, while others are exploring the implications of the equation's values.

Contextual Notes

There are indications of confusion regarding the graph's scaling and the placement of numbers on the y-axis, which may affect the interpretation of the graph's accuracy. Participants are also addressing potential errors in the original equation setup.

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Homework Statement


So I have to do one simple task to identify graph to corresponding formula. I don't know if software is wrong or my approach.

Homework Equations


y =4√x-2 -6[/B]

The Attempt at a Solution


Found zero at x = 2 and when x=6 then y=2 and graph is not showing that. Something I missed? Look at picture. The correct answer is A.
12.jpg
 
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Just to be sure, you are looking at ##4\sqrt{x-2}-6##?
That does not have a zero at x=2.
 
-6 is not in the sqrt
 
3301 said:

Homework Statement


So I have to do one simple task to identify graph to corresponding formula. I don't know if software is wrong or my approach.

Homework Equations


y =4√x-2 -6[/B]

The Attempt at a Solution


Found zero at x = 2

No, that is wrong. Solve the equation ##0=4\sqrt{x-2}-6##
3301 said:
and when x=6 then y=2 and graph is not showing that. Something I missed? Look at picture. The correct answer is A.
View attachment 95172

On the y axis, the numbers are above the scales. So the first scale is 2. y=2 at x=6 in figure A.
 
So the zero should be around 4.25, right?
 
Ok I got it. It was mine and graphs fault.
 
Rather than solve an equation I would just notice that f(0) is not a real number and f(2)= -6, not -8. None of the given graphs is correct.
 
HallsofIvy said:
Rather than solve an equation I would just notice that f(0) is not a real number and f(2)= -6, not -8. None of the given graphs is correct.

I think graph A is correct, the numbers are just placed in a strange way on the y axis.
 
LogarithmLuke said:
I think graph A is correct, the numbers are just placed in a strange way on the y axis.
Yes, the numbers are shifted one scale. It should look as in the figure.
upload_2016-5-23_6-45-16.png
 

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