Reflecting functions introduction | Transformations of functions | Algebra 2 | Khan Academy

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We can reflect the graph of y=f(x) over the x-axis by graphing y=-f(x) and over the y-axis by graphing y=f(-x). See this in action and understand why it happens.
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[@user-cy3je1xd1c]

Really cool explanation and helpful video! Thank you!

[@TasyaAdzkiya]

1:50 The tosca one is the y-axis reflection of the x-axis reflection of f(x). That is crazy.

[@plaustrarius]

Nice! Did not know khan had desmos demonstrations. I'm holding out for geogebra and octave now!

[@jandy608]

Good job reflecting the functions, but one thing: wouldn't the sqrt(-x) be i ?

[@seasnek7024]

I was just thinking the same thing

[@nope242]

thats only for x>0, because x cant be neg, -x gets limited to the left hand side of the graph, causing it to be reflected in the y axis

[@aaron9262]

sqr(-1) = i

[@aaron9262]

nope245 x can be negative but its not going to be a real number but will be refered to as an imaginary one. The Square root of -7 lets say is sqr(7 times -1) and we know that the square root of -1 = i so you could take the square root of 7 which is 2.64575131106 and add an i so.....2.64575131106i which is the same as sqr(-7) or you could write sqr(7i) which just correlates to sqr (-7)

[@jandy608]

@@aaron9262 that’s what I’m saying

[@PatriciaArceStatham]

nice!

[@DragonFury_Official]

Love demos thx Man ur always so helpful

[@dekings47]

Nice 😁

[@anshassi7015]

4th

[@sooraj7679]

In the first example.. Can we plot complex numbers in the real plane..??

[@That_One_Guy...]

How did he change the background color ?

[@familyguyclipz7300]

Second!!!!!

[@helpmebro3]

First

[@Brandon-xm4mp]

Eleventh, Fight Me!!!

[@flaminggaming9144]

Like 20th lol