Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #1 20060503 03:31:13
Curve SketchingI am having a little trouble with scaling curves, for example: Aloha Nui means Goodbye. #2 20060503 06:57:39
Re: Curve Sketchingy = 2(x)^3 or y = (2x)^3? "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #3 20060503 09:14:51
Re: Curve SketchingI know that the curve is exactly the same but if you are asked to describe the transformation, should I say that it's scaled in the ydirection by a factor 2 or in the xdirection by factor 1/2? Aloha Nui means Goodbye. #4 20060503 09:41:23
Re: Curve SketchingSeparate the  from the 2. You flip because of the negative, you strech/shirk because of the 2. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #5 20060503 22:12:18
Re: Curve SketchingSo I wont have any questions in the format y = 2x^3 asking in which axis I need to scale? Aloha Nui means Goodbye. #6 20060503 22:23:12
Re: Curve SketchingRight, but "scale" it by a "factor" may not make sense to someone who doesn't know that's the correct term for streching/shrinking "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." #7 20060503 22:43:29
Re: Curve SketchingAh good point!!! I'll write both answers Aloha Nui means Goodbye. #9 20060504 02:14:07
Re: Curve Sketching2x²  7x + 15 Aloha Nui means Goodbye. 