Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
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Chapter D, Problem 12E

Match each equation with the sketch of its graph in A–I.

(a) y = |x − 2|

(b) y = |x| − 2

(c) y = |x| + 2

(d) y = 2|x|

(e) y = −|x|

(f) y = |−x|

(g) y = −2|x|

(h) y = |x − 2| + 2

(i) y = |x + 2| − 2

Chapter D, Problem 12E, 12. Match each equation with the sketch of its graph in A–I.
(a) y = |x − 2|
(b) y = |x| − 2
(c) y =

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(d) Using a throwing stick, Dominic can throw his dog’s ball across the park. Assume that the park is flat. The path of the ball can be modelled by the equationy = −0.02x^2 + x + 1.8,where x is the horizontal distance of the ball from where Dominic throws it, and y is the vertical distance of the ball above the ground (both measured in metres).(i) Find the y-intercept of the parabola y = −0.02x^2 + x + 1.8 (the point at which the ball leaves the throwing stick). (ii) (1) By substituting x = 20 into the equation of the parabola, find the coordinates of the point where the line x = 20 meets the parabola. (2) Using your answer to part (d)(ii)(1), explain whether the ball goes higher than a tree of height 8.5 m that stands 20 m from Dominic and lies in the path of the ball. (iii) (1) Find the x-intercepts of the parabola. Give your answers in decimal form, correct to two decimal places. (2) Assume that the ball lands on the ground. Use your answer from part (d)(iii)(1) to find the…
Consider the graph of Cx + Ay = B where A, B, and C are all positive constants. (a) Find the coordinates of the x-intercept. Use upper case letters. Find the coordinates of the y-intercept. Use upper case letters. (b) Is the graph increasing or decreasing?

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Trigonometry (11th Edition)

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