1.13 Unit Test || Graphs of Sinusoidal Functions || Part 1

What is the minimum value for the function shown in the graph? (THE QUESTION PICTURE URL) 8097533-NG_AL2_SemB_11_UT_03.png (412×539) (k12.com)

-6

What is the amplitude of this function f(x)? f(x) = 3cos (2x) + 5

3

The function f(x) is multiplied by a factor of 2 and then 3 is added to the function. f(x) = sin (x) What effect does this have on the graph of the function?

The graph is vertically stretched by a factor of 2 and shifted up 3 units

Graph the function. f(x) = sin (πx/2) Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.

The points are First point (0, 0) Second point (1, 1)

Graph the function. f(x) = 3sin (x) Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.

The points are First point (0, 0) Second point (1.57, 3)

The table of values shows the height of a car of a Ferris wheel as it travels in a circular motion. Which statements are true? Select EACH correct answer.

The radius of the Ferris wheel is 25 yd AND The car makes a complete revolution in 12 s

What is the frequency of the function f(x)? f(x) = 3cos (πx) − 2 Express the answer in fraction form.

f = 1/2 (Make sure you do the f =)

Over a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. The tide measures 4.35 ft at midnight, rises to a high of 8.3 ft, falls to a low of 0.4 ft, and then rises to 4.35 ft by the next midnight. What is the equation for the sine function f(x), where x represents time in hours since the beginning of the 24-hour period, that models the situation?

f(x) = 3.95sin (πx/12) + 4.35

The graph of f(x) = cos(x) is transformed to a new function, g(x), by reflecting it over the x-axis and shifting it 2 units down. What is the equation of the new function g(x)?

g(x) = -cos x - 2

What is the equation of the midline for the function f(x)? f(x) = 3cos (x) − 2.5

y = -2.5 (Make sure you do the y =)

Graph a sine function whose amplitude is 4, period is π , midline is y = − 3, and y-intercept is (0, −3). The graph is not a reflection of the parent function over the x-axis. Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.

y = 4sin (2x) - 3 ^ Graph the equation (On demos or somewhere you can graph)

What is the period of the function f(x) shown in the graph? (THE QUESTION PICTURE URL) 8097534-NG_AL2_SemB_11_UT_06.png (352×599) (k12.com)

π