We see sine curves in many naturally occuring phenomena, like water waves. When waves have more energy, they go up and down more vigorously. We say they have greater amplitude. Let's investigate the shape of the curve y = a sin t and see what the concept of 'amplitude' means. Have a play with the. Jul 13, 2015 - 11 minis there a video that includes horizontal shift, or the 'c' value in y=d+a(sin)(b(x-c ))?

You may be asked to draw or sketch these graphs in your exam. Try to remember what they look like, and follow these tips: • If you are asked to draw or plot the graph, you will need to use your calculator to generate the y values. • If you are asked to plot the graph of f(x) = sinx° for 0° x 360°, use your calculator to find sin0°, sin10°, sin20°., sin360°, and then plot these values on the graph paper.

• Plotting a trigonometric graph is time-consuming, so it is more likely that you will be asked to sketch the graph. However, even if you think you remember what the graph looks like, you can use your calculator to check. For example, sin0° = 0 and cos0° = 1, so you have the starting points of the graphs. Tan90° has no value (your calculator will display an error message), so you know that the graph cannot cross the line x = 90°.

Review We first start with the graph of the basic sine function f (x) = sin (x) The domain of function f is the set of all real numbers. The range of f is the interval [-1,1]. To have a complete picture of why the graph of the sin(x) changes with x as shown above, you may want to go through an interactive tutorial on the trigonometric unit circle. Graphing f (x) = a*sin(b x + c) We first need to understand how do the parameters a, b and c affect the graph of f (x)=a*sin(bx+c) when compared to the graph of sin(x)? You may want to go through an interactive tutorial on.

The domain of f is the set of all real numbers. The range of expression bx + c is the set of all real numbers. Therefore the range of sin(bx+c) is [-1,1]. Hence -1 0 -a = a*sin(bx+c) >= a or a 0 0 = x >Acronis True Image 2014 Serial Download here. = 2 p /b. Which is equivalent to 2 p /b 0 and solve for x -c 0, the shift will be to the right. Example 1: f is a function given by f (x) = 2sin(3x - p /2) a - Find the domain of f and range of f. B - Find the period and the phase shift of the graph of f.

C - Sketch the graph of function f over one period. Answer to Example 1 a - The domain of f is the set of all real numbers. The range is given by the interval [-2, 2].

B - Period = 2 p / b = 2 p /3 Phase shift = - c / b = - (- p /2) / 3 = p /6 c - To sketch the graph of f over one period, we need to find the 5 key points first. Crf450r Pgm-fi Setting Tool more. Let 3x - p /2 vary from 0 to 2 p in order to have a complete period then find the values of f (x).

See table below. 3x- p /2 0 p /2 p 3 p /2 2 p f (x) 0 2 0 -2 0 We now need to find the corresponding values of x. The first row in the table above gives 0.