Illustrative Math - Algebra 2 - Unit 6 -Lesson 15 - Formative Library | Library

Here is a graph of a trigonometric function.
 Which equation could define this function?

y=1.5sin(x)-4

y=1.5cos(x)-4

y=-4sin(1.5x)

y=-4cos(1.5x)

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Select all the functions that have period \pi.

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The functions f and g are given by f(x)=cos(x) and g(x)=cos(5x). How are the graphs of f and g related?

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Here is a point at the tip of a windmill blade. The center of the windmill is 6 feet off the ground and the blades are 1.5 feet long.

Write an equation giving the height  of the point P after the windmill blade rotates by an angle of a. Point P is currently rotated \frac{x}{4} radians from the point directly to the right of the center of the windmill.

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A Ferris wheel has a radius of 95 feet and its center is 105 feet above the ground. Which statement is true about a point on the Ferris wheel as it goes around in a circle?

It is 85 feet off the ground once in quadrant 4 and once in quadrant 1.

It is 85 feet off the ground once in quadrant 1 and once in quadrant 2.

It is 85 feet off the ground once in quadrant 3 and once in quadrant 4.

It is is 85 feet off the ground once in quadrant 2 and once in quadrant 3.

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This lesson is from Illustrative Mathematics. Algebra 1, Unit 6, Lesson 15. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/3/6/15/index.html ; accessed 29/July/2021.

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