Transformations of Functions | Precalculus
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- Опубликовано: 16 окт 2024
- This precalculus video tutorial provides a basic introduction into transformations of functions. It explains how to identify the parent functions as well as vertical shifts, horizontal shifts, vertical stretching and shrinking, horizontal stretches and compressions, reflection about the x-axis, reflection about the y-axis, reflections about the origins and more. Parent functions include absolute value functions, quadratic functions, cubic functions, and radical functions. This video contains plenty of examples on graphing functions using transformations.
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MR. Organic Chemistry Tutor, thank you for another monster video/lecture on Transformations of Functions. Graphs recognitions are very helpful when learning Transformations of Functions.
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haha faced the same problem today! my exam would’ve gone so much better if i had had a more solid understanding of these transformations. glad i found this video so i don’t make those same mistakes again
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18:04 wouldn’t the 3 shift to the left?
@@MillionaireMael No that’s incorrect. 3 is positive so it’s to the right
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SQR(2x) can also be written as SQR(2)timesSQR(x) according to the rules, am I right? So, doesn't this mean a vertical stretch of SQR(2)(>1) beside a horizontal shrink? It is not yet clear to me that people only describe this function as a horizontal shrink! thanks in advance for your attention...
For the last problem, why does it go right 3 and not left 3?
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im confused about 18:13. if (3-x) =+3 that would a horizontal shift to left 3 why is the square root of 3-x which is +3 not also a horizontal shift to the left ?
take (x+3) as an example, normally you will say it a horizontal shift to the left, right?
so it is bc x + 3 = 0 x = -3 is a negative shift
so, the same with 3-x; 3-x = 0 only when x = 3 which is a positive, so we have a horizontal shift to the right
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Thank you so much for your help JG. Quick questions. When you are altering the x values for the horizontal transformations (11:00 minute) do you apply the reciprocal of 2 and 1/2 to get the new values of x?
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18:04 wouldn’t the 3 shift to the left?
Yeah. I was also thinking the same as we can take f(×)=(-x)½ then (-x+3)½can be written as f(x+3) which should shift towards left.
Right????
yesss it should go to the left
BUT ITS TO THE RIGHT ON DESMOS TOO WHTS GOING ON
I hope this clears stuff up
19:37 I thought whatever was in the bracket of x, the number inside is the opposite of what the horizontal translation taking place -- shouldnt this be a horizontal shift to the left ? Could someone help me
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Bru wthhh😭 for y= square root of 1/2x. Where the hecj did u get the 8 from. Im not understanding this