Talenta Academy Transforming The Graph of sin x Part 1 - Amplitude The amplitude is The distance from any maximum or minimum To The axis of curve. I. Neale skeTch The graphs of The funcTions lisTed below on The grid using differenT colours and label Them clearly. The x-axis should have a scale from -360 To 360 2. CompleTe The following Table. Function Amplitude y = sin(x) Y : 25in(x) Y = 35in(x) 3. How can you determine the amplitude from the equation? 4. Graph y = - 3 sin(x). Sketch the graph on the grid and clearly label it. a. Describe the change to the graph when y = 3sin(x) was changed to y = - 3 sin(x). b. Compare the amplitudes of y = 3sin(x) and y = - 3 sin(x). Talenta Anademv Part 2 - Period The period of a periodic funcTion is The lengTh of one cycle, measured along The horizonTal axis. Check your graph of y = sin(x) To confirm ThaT The period is 360. 1. Graph y = sin(x). I 2. For y = sin(2x), whaT is The TransformaTion from The graph of y = sin(x)? ''i I I I I . i i i i . T""" I I i i + i i i i i i i i i i v . i i l i i i i i I __I___ 3. Graph y = sin(2x) 4. What is the period of y = sin(2x)? 5. For y = sin(4x), what is the transformation from the graph of y = sin(x)? 6. Graph y = sin(4x). 7. What is the period of y = sin(4x)? 8. Complete The following Table. y = sin(2x) ' y = sin(4x) ' 9. How can you deTermine The period from The equaTion