mac1140_lecture19_2

# mac1140_lecture19_2 - 1 6 2 L 1 9 § 4 . 1 Q u a d r a t i...

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Unformatted text preview: 1 6 2 L 1 9 § 4 . 1 Q u a d r a t i c F u n c t i o n s A f u n c t i o n f i s c a l l e d a q u a d r a t i c f u n c t i o n i f 2 ( ) f x a x b x c = + + , w h e r e a , b , a n d c a r e r e a l n u m b e r s a n d a ≠ . E x a m p l e . S k e t c h t h e g r a p h o f t h e f u n c t i o n 2 ( ) ( 2 ) 3 g x x = − + + 1 6 3 E x a m p l e . S k e t c h t h e g r a p h o f t h e f u n c t i o n 2 1 2 ( ) ( 3 ) 2 f x x = − + V e r t e x : I n g e n e r a l : T h e g r a p h o f a q u a d r a t i c f u n c t i o n 2 ( ) ( ) f x a x h k = − + i s a p a r a b o l a w i t h v e r t e x ( , ) h k a n d a x i s x h = . I t o p e n s u p w a r d i f _ _ _ _ _ _ & d o w n w a r d i f _ _ _ _ _ _ _ 1 a > ⇒ 1 a < < ⇒ 1 6 4 S t a r t i n g w i t h t h e g e n e r a l e q u a t i o n o f a q u a d r a t i c f u n c t i o n 2 ( ) f x a x b x c = + + , w e c a n r e d u c e i t t o t h e f o r m 2 ( ) ( ) f x a x h k = − + b y c o m p l e t i n g t h e s q u a r e , w h i c h a l l o...
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## This note was uploaded on 02/29/2012 for the course MAC 1140 taught by Professor Gregory during the Fall '11 term at Broward College.

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mac1140_lecture19_2 - 1 6 2 L 1 9 § 4 . 1 Q u a d r a t i...

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