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?

Enter your answer in the box.

answer:

3.95sin(pix/12)+4.35

Step-by-step explanation:

A = amplitude = (max-min)/2 = (8.3-0.4) / 2 = 3.95

Vertical displacement = (max+min)/2 = (8.3+0.4)/2 = 4.35

period = 2pi /b

b= 2pi /period = 2pi/24 = pi/12

phase shift = 12

y = 3.95 cos ( (pi/12)(x)) + 4.35

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

i saw this question before, dont know the asnwer srry

step-by-step explanation: