3/8 (x-1) (x-9) graph the function
1 answer:
Answer:
see below
Step-by-step explanation:
The factors tell you the x-intercepts are at x=1 and x=9, as these are the x-values that make the factors zero.
The y-intercept is ...
(3/8)(0 -1)(0 -9) = 27/8 = 3 3/8
The vertex is at the point halfway between the x-intercepts, at x = (1+9)/2 = 5.
(3/8)(5 -1)(5 -9) = 3(-16)/8 = -6
The vertex is (5, -6)
So, we have points on the curve (0, 3 3/8), (1, 0), (5, -6), (9, 0), (10, 3 3/8)*. The graph is a smooth parabolic curve through these points.
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* (10, 3 3/8) is symmetrically located about x=5 from the y-intercept.
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Step-by-step explanation:
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We have been given that you drop a ball from a window 50 metres above the ground. The ball bounces to 50% of its previous height with each bounce. We are asked to find the total distance traveled by up and down from the time it was dropped from the window until the 25th bounce.
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