Algebra II Part II Review for Final

The graph of y = cos(θ) is translated 5 units up and π units to the left, and is given an amplitude of 3. What is the resulting equation?

• y = 3 cos(θ + π) + 5

• y = 3 cos(θ - π) - 5

• y = 3 cos(θ - π) + 5

• y = 5 cos(θ + π) + 3

• (-∞, -1] ∪ [5, ∞)

• (-∞, -1) ∪ (5, ∞)

• (-1, 5)

• [-1, 5]

• Vertical stretch by a factor of 2, translate right 5 spaces and down 3 spaces.

• Vertical stretch by a factor of 2, translate left 5 spaces and down 3 spaces.

• Vertical stretch by a factor of 2, translate right 5 spaces and up 3 spaces.

• Vertical stretch by a factor of 2, translate left 5 spaces and up 3 spaces.

• 4

• 1/4

• 2/3

• 2

• -1/4

• 1/4

• 1/2

• 5/2

The Queen Anne’s County Fair is planning to model the path of a single cart on the ferris wheel throughout the day. The circular path of the cart can be modeled by a sinusoidal function relating the height of the cart with respect to time. If the ferris wheel has a diameter of 250 feet, what would be the amplitude of the sinusoidal curve modeling the path of the cart?

• 500 ft.

• 250 ft.

• 100 ft.

• 125 ft.

• There were 5 bacteria present at time t = 0. The bacteria are growing at a rate of 20% per minute.

• There were 1.2 bacteria present at time t = 0. The bacteria are growing at a rate of 500% per minute.

• There were 5 bacteria present at time t = 0. The bacteria are growing at a rate of 12% per minute.

• There were 1.2 bacteria present at time t = 0. The bacteria are growing at a rate of 5% per minute.

• a. x = 5.5

• b. x = 7

• c. x = - 5.5

• d. x = - 7

Consider f(x) = √x. Which of the following contains only true statements?

• a. The domain of f(x) is [0, ∞). f(x) is increasing on its entire domain.

• b. The domain of f(x) is [0, ∞). f(x) is decreasing on its entire domain.

• c. The domain of f(x) is (-∞, 0]. f(x) is increasing on its entire domain.

• d. The domain of f(x) is (-∞, 0]. f(x) is decreasing on its entire domain.