Finding the Axis of Symmetry in a Parabola: How to Solve the Problem

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The axis of symmetry for a parabola can be found using the formula -b/2a, but it must be applied correctly based on the specific equation of the parabola. The axis of symmetry visually represents a line that divides the parabola into two equal halves. In this discussion, it was clarified that the equation for the axis of symmetry can be x=0 for a vertical line through the y-axis. The importance of using the correct parameters from the problem rather than a general formula was emphasized. Understanding the relationship between the parabola's equation and its axis of symmetry is crucial for solving related problems.
Niaboc67
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Homework Statement


mIK8i4d.png

The Attempt at a Solution



I would guess it is -b/2a but I have gotten this incorrect. Maybe I have to figure out what the parabola equation is and apply it into the axis of symmetry. Assuming that is correct how would I find that?

Thanks[/B]
 
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Niaboc67 said:

Homework Statement


mIK8i4d.png

The Attempt at a Solution



I would guess it is -b/2a but I have gotten this incorrect. Maybe I have to figure out what the parabola equation is and apply it into the axis of symmetry. Assuming that is correct how would I find that?

Thanks[/B]

You should be able to guess it like you guessed the other answers. Do you know what axis of symmetry means visually?
 
Isn't it the line which divide the parabola into two even parts. So the line that goes directly down the middle.
 
Niaboc67 said:
Isn't it the line which divide the parabola into two even parts. So the line that goes directly down the middle.

Right. What is that line?
 
Look to be the y-axis itself?
 
Niaboc67 said:
Look to be the y-axis itself?

Right again. Now what's an EQUATION for that line?
 
Oh I just looked up some information on this and it looks like x=0 would create a completely vertical line. Is this correct?
 
Niaboc67 said:
Oh I just looked up some information on this and it looks like x=0 would create a completely vertical line. Is this correct?

Perfectly correct.
 
Awesome! Thank you for your assistance!
 
  • #10
I would just like to add that your initial answer, "- 2a/b", makes no sense because there is no "a" and no "b" in the problem! I assume that was a general formula but you were not asked for a general formula, you were asked for an answer specific to this problem.
 

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