Comments on: Intuition For Graphed Functions https://betterexplained.com/articles/intuition-for-graphed-functions/ Math lessons that click Fri, 30 Apr 2021 00:46:30 +0000 hourly 1 By: kalid https://betterexplained.com/articles/intuition-for-graphed-functions/#comment-568091 Fri, 30 Apr 2021 00:46:30 +0000 https://betterexplained.com/?p=11788#comment-568091 In reply to Mark Hespenheide.

Hi Mark, thanks for the comment! Great point, I'll see if I can clarify how they relate. Something like "run the video at 2x speed" is ax, and then we have "also, offset by 20 minutes" which is b, or a*b. Did we want the offset to take place before we ran it at 2x speed, or after?

]]> By: Mark Hespenheide https://betterexplained.com/articles/intuition-for-graphed-functions/#comment-568082 Tue, 20 Apr 2021 02:51:48 +0000 https://betterexplained.com/?p=11788#comment-568082 Kalid, I absolutely love your work. But I'm pretty sure that your text and your desmos example of a modified function need to be f(a(x+b))+c or g(a(x+b))+c. If you use the extra parentheses inside the function, it keeps the horizontal stretch and shift separate.

]]> By: Jerry Hubbard https://betterexplained.com/articles/intuition-for-graphed-functions/#comment-567708 Wed, 20 Nov 2019 23:08:12 +0000 https://betterexplained.com/?p=11788#comment-567708 This could be related to radio modulation! It is not my strength at this time.

]]> By: kalid https://betterexplained.com/articles/intuition-for-graphed-functions/#comment-567419 Thu, 21 Mar 2019 21:53:14 +0000 https://betterexplained.com/?p=11788#comment-567419 In reply to ssgcmwatson.

I like it! Another way to write it:

y = x^2 is a standard parabola from y's point of view y = (x + 5)^2 is a left-shifted parabola from y's point of view

x = sqrt(y) is a standard parabola from x's point of view x = sqrt(y) - 5 is a left-shifted parabola from x's point of view

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