Question: What is the minimum value for the function shown in the graph?

(THE QUESTION PICTURE URL)

8097533-NGAL2SemB11UT_03.png (412×539) (k12.com)

Answer: -6

Question:

Answer: y = 4sin (2x) - 3

^

Graph the equation

(On demos or somewhere you can graph)

Question: 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)?

Answer: g(x) = -cos x - 2

Question: What is the amplitude of this function f(x)?

f(x) = 3cos (2x) + 5

Answer: 3

Question: What is the equation of the midline for the function f(x)?

f(x) = 3cos (x) − 2.5

Answer: y = -2.5

(Make sure you do the y =)

Question: What is the frequency of the function f(x)?

f(x) = 3cos (πx) − 2

Express the answer in fraction form.

Answer: f = 1/2

(Make sure you do the f =)

Question: What is the period of the function f(x) shown in the graph?

(THE QUESTION PICTURE URL)

8097534-NGAL2SemB11UT_06.png (352×599) (k12.com)

Answer: π

Question: 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.

Answer: The points are

First point (0, 0)

Second point (1.57, 3)

Question: 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.

Answer: The points are

First point (0, 0)

Second point (1, 1)

Question: 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?

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