Find a function whose graph is a parabola with vertex (1, −4) and that passes through the point (3, 0). f(x) X =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The question has two parts. 1- to find a the parabola equation 2- to find the instantaneous velocity

The table shows the position of a cyclist.
t (seconds)
0 1 2 3
4 5
s (meters) 0 1.3 4.5 10.4 17.5 25.5
(a) Find the average velocity for each time period.
(i) [1, 3]
4.55
(ii) [2, 3]
5.9
(iii) [3, 5]
7.55
(iv) [3, 4]
7.1
m/s
m/s
m/s
m/s
(b) Estimate the instantaneous velocity when t
=
7
X m/s
3.
Transcribed Image Text:The table shows the position of a cyclist. t (seconds) 0 1 2 3 4 5 s (meters) 0 1.3 4.5 10.4 17.5 25.5 (a) Find the average velocity for each time period. (i) [1, 3] 4.55 (ii) [2, 3] 5.9 (iii) [3, 5] 7.55 (iv) [3, 4] 7.1 m/s m/s m/s m/s (b) Estimate the instantaneous velocity when t = 7 X m/s 3.
Find a function whose graph is a parabola with vertex (1,-4) and that passes through the point (3, 0).
f(x) =
Transcribed Image Text:Find a function whose graph is a parabola with vertex (1,-4) and that passes through the point (3, 0). f(x) =
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