Graphing Equations Homework: Identifying Graph to Formula

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The discussion revolves around identifying the correct graph for the equation y = 4√(x-2) - 6. The initial confusion stems from misinterpreting the graph's zero points and the placement of numbers on the y-axis. After analyzing the equation, it is clarified that the zero is not at x=2, and the correct answer is graph A, despite the y-axis scaling issues. Participants conclude that the graph's numbers are misaligned, leading to misunderstandings about the function's behavior. Ultimately, the consensus is that graph A accurately represents the equation, albeit with some visual discrepancies.
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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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