Family of functions transformation.pdf - Families of Functions Discovery Parent Function y = x2 As you graph the following functions notice how the

Family of functions transformation.pdf - Families of...

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Families of Functions Discovery Parent Function: y = x 2 As you graph the following functions notice how the equation affects the graph. y = x 2 l I i >& ! ! .! 4- i . ! ,3 ·2- I i ---- ---··-· -·-1- i I I -5 -4 -3 -� - 1 0 •1 - - ·2 -r-i I -,. I I ! l " 2 : -- --=3 ,·=4 ,_,. I - j l I t1 \ ' ·� •4 •5 ! i ! ·-·- y = x 2 + 2 -�-•--•--•.a-•, _ __,_ -1-- - - ...... --:----+··· ···- :�,--.---+-�-+---r - 5 -4 - 3 - 2 -1 O . , · ? · ·4 •9 i --· ' . . · 1 - , - 1---+----;. - --+--.;-,; - I ·?- _]_,..----+--+--+--!! ____ ...__.-=; I (i--;-f--J--!--i�-4 I ,___,.. __ ..,..._.,__,_-5. I i t I i , y = x 2 - 3 I I ! I I i •5 . I I I _I I I •4 I j I •3-. I --, ! I i ·2. ! i .. , ------ - r-·· r · ---- 1 ! I ! I -� -4 -3 -2 · 1 . 0 ·1 ·2 '3 ·4 •5 ; -1- I ' I i I ; I '·:;>. I ,- I ! I i ! J.:3 I I -=4 - I -=5 - i I What rule can you come up with that explains this shift? (What does the change in the equation do to the graph?) y = x 2 i I l I .!-5 I _, i i - I •4. l ·a - - I ·2- -- I 1_ .. ,_ i ! I i I -5 -4 -3 -2 -, 0 ·1 ·2
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