Find two of the vertical asymptotes of y = tan( 2x - -).

The San Francisco Bay tides vary between 1 foot and 7 feet. The tide is at its lowest point when time (t) is 0 and completes a full cycle in 8 hours. What is the amplitude, period, and midline of a function that would model this periodic phenomenon? A. Amplitude = 6 feet; period = 8 hours; midline: y = 4  B. Amplitude = 6 feet; period = 4 hours; midline: y = 3  C. Amplitude = 3 feet; period = 8 hours; midline: y = 4  D. Amplitude = 3 feet; period = 4 hours; midline: y = 3

Sketch two periods of the graph of the function h(x)=4sec(π/4(x+1)). Identify the stretching factor, period, and asymptotes. Enter the exact answers.

The temperature, A, of a chemical reaction oscillates between a low of 30oC and high of 110oC. The temperature is at its lowest point when t = 0 and completes one cycle over a five-hour period. Sketch a graph of A, against elapsed time, t, over a ten-hour period. Pay careful attention to concavity and inflection points and where they occur. Find the period, the amplitude, and the midline of the graph that you drew in part a).

What is the equation for the vertical asymptote of y= 2/x-3

In the graph below, the red graph is y = cos x. What is the function represented by the blue graph? (-4x/3, 1) Select one: (-3,-1) O b. 0 a. y = = cos(x+3) y = cos(x - 2) O c. y = cos(x + 2) ○ d. y = cos(x) (2x/3, 1)

Consider the following function. y = -3.5 cosx + 4) (a) Using pencil and paper, not a graphing utility, determine the amplitude, period, and phase shift for the function. amplitude period phase shift (b) Use a graphing utility to graph the function for two complete cycles. [In choosing an appropriate viewing rectangle, you will need to use the information obtained in part (a).] y y 4 4| 2. -12 \12 я - 12 12 л - 6 -2 2 -4 y y 4 4- 2 2 -3 12 л - 3 12 л - 9 -2 (c) Use the graphing utility to estimate the coordinates of the highest points on the graph. (Round your answers to two decimal places.) (x, y) = (smaller x-value) (x, y) = (| (larger x-value) Use the graphing utility to estimate the coordinates of the lowest points on the graph. (Round your answers to two decimal

Find all indicated pertinent information, and sketch one cycle of the graph of f (x) = 4cos2 (x +")+2. Be sure to label key values on each axis i.e., 5 key points on x-axis and 3 key points on y-axis. amplitude: period: phase shift: vertical shift: Domain:

Given y=-3sin[2(x-60)]+1, what is the period of the function?