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

Click For Summary

Homework Help Overview

The discussion revolves around finding the axis of symmetry in a parabola, specifically addressing the equation and its implications in the context of a given problem.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the formula for the axis of symmetry, questioning its application and the specific parameters of the parabola equation. There is a discussion about the visual interpretation of the axis of symmetry and its representation as a line dividing the parabola.

Discussion Status

The conversation includes attempts to clarify the meaning of the axis of symmetry and its equation. Some participants provide affirmations and corrections regarding the understanding of the axis, while others express confusion about the initial formula mentioned.

Contextual Notes

There is a noted lack of specific values for "a" and "b" in the problem, which raises questions about the applicability of the general formula for the axis of symmetry.

Niaboc67
Messages
249
Reaction score
3

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]
 
Physics news on Phys.org
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.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 16 ·
Replies
16
Views
4K
  • · Replies 3 ·
Replies
3
Views
3K
Replies
9
Views
3K
  • · Replies 3 ·
Replies
3
Views
912
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 17 ·
Replies
17
Views
9K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
15
Views
5K