Which of the following graphs best represents f(x) = 3 sin 4x + 2?

1 answer:

5 0

The graph for
f(x) = sin x
is a sinusoidal graph with the origin as the middle point and the value increases up to the maximum point before going down crossing the x-axis and reaching the minimum point before increasing again until it crosses the x-axis. The graph continues as a wave on both sides indefinitely.
f(x) = 3 sin 4x
has an amplitude of 3 or the highest point is 3 and a period of
Period = 2π/4 = π/2
f(x) = 3 sin 4x + 2
the graph is shifted 2 points upward.

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A 39-foot piece of string (hypotenuse) is stretched from the top of a 18-foot flagpole to the ground. How far is the base of the

ivann1987 [24]

9514 1404 393

Answer:

34.6 ft

Step-by-step explanation:

The distance can be found using the Pythagorean theorem. Where a, b, c are the sides of a right triangle with c as the hypotenuse, it tells you ...

a² + b² = c²

a = √(c² -b²)

base-to-string = √(39² -18²) = √1197 ≈ 34.598

The distance from the base of the pole to the end of the string is about 34.6 feet.