Graphing
what is the equation for the graph y=sinx stretched by a factor of 2?
y=2sinx
What is amplitude?
The vertical distance between the midline and the maximum or minimum value of the function
A wave created from a fishing boat reaches a height of 8m above sea level. What is the range of this wave?
16m.
What y level is the midline of the graph y=2sinx+7?
7.
What is a translation?
The shift of a sin graph along the x or y-axis without changing is shape or size.
7m.
What is another way to write y=sin(x+π/2)?
y=cosx.
what is the period?
the distance it requires for the function to complete one full cycle.
high tide is at midnight, the period is 12 hours. What time(s) will low tide occur?
6am and 6pm
2.
what are the low points on a sine graph called?
Troughs
the height of a ferris wheel is 20m. What is the amplitude of the function modeling the VERTICAL motion of a gondela on the wheel over time?
10m
How many cycles does y=sin3x complete in the same distance it takes y=sinx to complete two cycles?
6.
What is the value of 4π/3 in degrees?
240 degrees
If a spring bouncing uniformly on a table is shown by the equation y=3sinx+2, what would the equation be for a spring bouncing 2x as fast?
Y=3sin2x+2