Nex Extension: A Parabola with No Roots 10 Here is a parabola with no roots. You can drag point A to see other parabolas without roots. Is it possible to write an equation for such a parabola in the form f ( x) = (x - a) (x -b)? Yes No A -10 -5 0 10 -10Extension: No Roots? Is it possible to drag point A to move the cubic so that it has no roots? 4- Yes No (-2, 0) (0, 0) ( 2 , 0 ) -4 0 4 -2+ -4-on Challenges K X What do you know? 40 Rhonda wrote this function: f (x) = (x- 3)2(x+ 2) (x- 1) 20+ How many roots do you think her function has? 0 1 -10 - 5 0 10 3 4 Other -20- Explain your thinking. -40 Share With ClassSummarize In this activity, you have studied functions like these: f (x) = (x-a)(x-b) f (x) = (x-a) (x-b)(x-c) Describe the relationship between these equations and their graphs. Share With Class