Question

Suppose f is a quadratic function that has roots at I = - 4 and I = 8, and f(0) = 16. We will write a function formula for f. a. Sketch a graph of f based on the information you are given. b. We can write f as f(x) = c(x - 1)(x - ) where x < , and c is some constant number What are the values of 3, and az? O2 = -2/4(x+4)(x-8) Preview Preview c. Replace in and o, in the formula f(x) = c(x - )(x - 2) with the values you found above. Use the fact that f(0) 16 to determine the value of c. Preview d. Write a function formula for f in terms of .. f(x) = * Preview Submit License Question 7. Points possible: 4 Unlimited attempts. Score on last attempt: 0. Score in gradebook: 0 A rock is thrown upward from a bridge that is 64 feet above a road. The rock reaches its maximum height above the road 0.64 seconds after it is thrown and contacts the road 2.82 seconds after it was thrown. Write a function f that determines the rock's height above the road (in feet) in terms of the number of seconds t since the rock was thrown. f(t) = Preview Helpful Hints: (1). Draw a picture of by hand. Recall that the axis of symmetry goes through the vertex. The zeros off are both the same distance from the axis of symmetry. You can use this to find the second zero off.

Answer 1

solutions roots => x = -4,8 fo) = 16 (as Graph oon This graph the approx of fin. 8 25 (6) from the given info, we can write fou = < 12--4)) (x-8) when x=0 .y = 16 » 16c10+4) (0-8) g 16 = 6 (4)1-8) when 2 - 0 (8-7Xh e core Thus, fix) = -7/1 | x-1-4) (x-8)

- x=-4 los ca c="AJ lenge fors 77 (200)/(+8 (x+4)(x-8)
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