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Parabolas

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Mathematics IGCSE O Level. Parabolas
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   www.mathletics.com Curriculum ReadyParabolas Parabolas  SERIES TOPIC K  1 100% Parabolas Mathletics 100% © 3P Learning Parabolas 8 How many  x -intercepts does a quadrac equaon have?What is the turning point of a parabola?When is a turning point a maximum or minimum?   PARABOLAS Answer these quesons, before  working through the chapter.Answer these quesons, after   working through the chapter. Quadrac equaons have highest power 2  (squared). The standard form of a quadrac equaon is  y ax bx c 2 = + + But now I think: What do I know now that I didn’t know before?  I used to think: How many  x -intercepts does a quadrac equaon have?What is the turning point of a parabola?When is a turning point a maximum or minimum?  SERIES TOPIC K 8 2 100% Parabolas Mathletics 100% © 3P Learning Parabolas Basics  What is a Parabola? A 'quadrac' equaon has the form Where a , b  and c  are constants and 0 a  ! . In other words, the highest power in a quadrac equaon is 2  (squared).  y ax bx c 2 = + + This is called standard form Write these quadrac equaons in standard form and nd the values of a ,  b  and c a  b c 3 4  y x x 2 = - + 3 4  y x x 2 `  =- + + , , 1 3 4 a b c `  =- = =  , , 1 a b c 0 5 `  = = =-  , , 3 6 45 a b c `  = =- =- a aab bc cc 5  y x 2 = - ( )  y x x y x x y x x 3 5 33 2 153 6 45 22 `` = - += - -= - - ^ ^h h Drawing a Parabola from a Table The table method has been used here to draw the graph of 2  y x x 2 = - -  x  -3-2-101234  y 1040-2-20410 Each parabola has these key points: ã Two  x -intercepts ã A  y -intercept ã A turning point (or 'vertex')  y x -6 -5 -4 -3 -2 -1 1 2 3 4 5 610 9876 54321-1-2-3-40    x -intercept  x -intercept  y -interceptTurning point The graph of a quadrac equaon is called a 'parabola'.

Modal verbs

Jul 23, 2017

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Jul 23, 2017
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