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secondary 3 | A Maths
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Hi, could you kindly advise me the working solution for this A maths question please? Thanks.
Date Posted: 4 years ago
Views: 240
Good evening Candice! I am looking at your question now
Thanks Mr Eric :)
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Good evening Candice! Here are my workings for this question.
Date Posted:
4 years ago
Thank you so much Mr Eric :)
Could you advise me what does being reflected in the X-axis mean?
Could you advise me what does being reflected in the X-axis mean?
The x-axis is basically your horizontal axis. A point above the x-axis by 5 units, for example, when reflected along the x-axis, will end up being below the x-axis by 5 units.
A point which starts out below the x-axis by 2 units will become 2 units above the x-axis at the end.
Only points along the x-axis will remain unscathed after the reflection.
If you have a smiley face curve y = x^2 being reflected along the x-axis, it will end up on the other side as y = -x^2.
I will explain this further using graphs from Desmos.
A point which starts out below the x-axis by 2 units will become 2 units above the x-axis at the end.
Only points along the x-axis will remain unscathed after the reflection.
If you have a smiley face curve y = x^2 being reflected along the x-axis, it will end up on the other side as y = -x^2.
I will explain this further using graphs from Desmos.
oic. Thanks for your patience to explain to me, I understand now. I just realized that my question is fairly silly. This is a new chapter to me, I am still trying to grasp the concept so pls bear with me should i ask something really silly :)
Once again thanks a lot, Mr Eric.
Once again thanks a lot, Mr Eric.
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These are some examples of graphs which are reflected along the x-axis.
Typically, if the original graph has equation y = f(x), then the equation of the new reflected graph is y = - f(x).
There are graphs which are reflected along the x-axis too, or even graphs which are reflected along the diagonal line y = x or y = -x. You will encounter some of these in Sec 3 or Sec 4 (both E and A Maths, but more commonly seen in A Maths) and others in your future studies beyond the O Levels.
In our case, the cosine graph gets reflected. However, the characteristics of our graph remains unchanged other than the reflection. The size of the graph, in particular, does not change. I wonder what happens if I look into a regular standard mirror and I find myself being of a different shape and size...
Typically, if the original graph has equation y = f(x), then the equation of the new reflected graph is y = - f(x).
There are graphs which are reflected along the x-axis too, or even graphs which are reflected along the diagonal line y = x or y = -x. You will encounter some of these in Sec 3 or Sec 4 (both E and A Maths, but more commonly seen in A Maths) and others in your future studies beyond the O Levels.
In our case, the cosine graph gets reflected. However, the characteristics of our graph remains unchanged other than the reflection. The size of the graph, in particular, does not change. I wonder what happens if I look into a regular standard mirror and I find myself being of a different shape and size...
Date Posted:
4 years ago
Thank you so much Mr Eric. Really appreciate your detailed explanation :)
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