Rotation os axes confusing me.

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SUMMARY

The discussion centers on the confusion surrounding the rotation of axes in precalculus, particularly in relation to parabolas. The user, Beeza, expresses frustration over differing answers from classmates and acknowledges a background in pre-algebra. The conversation highlights the importance of understanding how to visualize and manipulate parabolas when changing axes, which is crucial for success in Calculus I. The mention of a tilted parabola versus an untilted one indicates a focus on geometric transformations.

PREREQUISITES
  • Understanding of basic algebraic concepts
  • Familiarity with parabolas and their properties
  • Knowledge of geometric transformations, specifically rotation
  • Basic skills in visualizing graphs and functions
NEXT STEPS
  • Study the concept of rotating axes in coordinate geometry
  • Learn about the properties of parabolas and their equations
  • Explore geometric transformations and their applications in calculus
  • Practice problems involving the visualization of tilted and untilted parabolas
USEFUL FOR

Students transitioning from algebra to precalculus, particularly those preparing for Calculus I, as well as educators seeking to clarify concepts of geometric transformations in mathematics.

Beeza
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Hey guys,

This is my first post, and I spent a lot of time trying to figure this one out and I am totally stumped! Two of my classmates got different answers, and no matter how many ways i work this problem out, I still get the same answer.

Also, forgive me if my mistake is really simple because at this time last year I was in a pre-algebra class. Now, I'm in precalculus and managing to get an A, but I still make arithmetic mistakes at times.

I hope this attachment works right.
 

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G'day, Beeza.

Your work is great and I agree with you.

Here's what the tilted parabola looks like with the new axes and the untilted parabola.

beeza2.gif
 
Last edited:
Thanks for the confirmation Unco! I was hoping that I wasn't crazy

I'm sure I'll be posting more questions this spring--when I take Calculus1.
 

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