Investigating The Sin Curve Math Hl Ia

Investigating the Sine Curve This give out investigates the sinning roll in the form o[pic] f, and how that relates to the represent of the wickedness trend. In particular, it would be investigated how the versatile variables ([pic] effect the way that the graph is drawn and then behold if the rule can be generalized to apply to whatever form of the comparison. The first occasion to do would be to pass on with [pic] and [pic] to be 0, which would mean that the equation [pic] takes the form of: [pic]. It can be seen from Graph 1.1 that when [pic] is 1 what graph you get (the red graph) and when [pic] is solelyowed to be 2 what the graph looks similar (the blue graph). From the graph on a lower floor it can be seemn that increase [pic] stretches the graph by the agent of throw in [pic]. In simple words, the graph of [pic] would be twice the eyeshade of [pic] as is clearly seen from Graph 1.1. When I change the time tax income for [pic], all the nurse of the sin deviate get cipher by that nurture of [pic], which is 2 in this case. By multiplying all the values of the curve by [pic] the heyday of each point in the curve increases age there is no change in the position of the graph in the x-axis.

For the original sine graph ([pic]) it is common fellowship that the comparative minima and maxima ar -1 and 1 respectively, however when the [pic] is changed the original minima and maxima are as well as multiply by [pic] and accordingly the new minima and maxima would become [pic] and [pic] respectively. The stop of the graph also gets stretched by [pic] as this is the number that the unharmed curve is being multiplied by. This time when we change the value of [pic] we would change it into a instalment, peerless fraction would be littler than 1 whereas the other atomic number 53 would bigger than 1. It can be seen that when you have a fraction that is smaller than 1 for your [pic] value the point of the sine curve ill decrease to the height of [pic]. On the other hand, having a bigger fraction than 1 increases the height of the sine curve to...If you want to get a full essay, order it on our website: Orderessay

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