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- Hey Brad! I need your help with this math problem.
- Ok, you know math is my strong suit!
- I'm trying to find out what x²+y²=17 is symmetric with respect, but I don't know where to start!
- Easy! So let's start with your x-axis first.
- We're going to switch the signs for y, so it's going to be x²+(-y)²=17.
- We would then simplify, and the (-y)² would change back into a positive y², because of the parathesis.
- So would we do the same for the y-axis?
- Yes, but instead this time we are replacing our x-values. We change our x² to (-x²)
- That would make the equation (-x²)+y²=17
- The (-x)² would cancel out with the negative just as the y value did before, making it x² once again.
- This would make our equation once again x²+y²=17
- Oh ok, I understand this concept way better now1
- Since both of our equations matched with the original they are symmetrically to both our x-axis and y-axis!
- Since both our equation were symmetric with respect to the x-axis and y-axis. That means it has symmetric respect with our origin as well!
- Thank you so much Brad! I don't know what I would do without you haha.
- Anytime! I have to go though, so I'll see you later!
- Thanks again Krysia! Now I'm going pass this Trig test for sure!
- You can come out Alexa
- Don't forget you owe me...