sorry, aisha, but your formula "y=-3sin[2(x-30)]+5" isn't correct.aisha said:i want c to be negative because it says shift 30 degrees to the left, isn't this correct?
The equation Y=-3sin(2x) shifted new equation is a trigonometric function that represents a sinusoidal curve with a period of pi and an amplitude of 3. The negative sign in front of the function indicates that the curve is reflected across the x-axis.
The new equation Y=-3sin(2x) shifted is shifted vertically downwards by 3 units compared to the original equation Y=sin(2x). This is because of the coefficient -3 in front of the function.
The period of the shifted equation Y=-3sin(2x) is still pi, which is the same as the period of the original equation Y=sin(2x). The period of a sine function is determined by the coefficient in front of the x, which in this case is 2.
The amplitude of the shifted equation Y=-3sin(2x) is still 3, which is the same as the amplitude of the original equation Y=sin(2x). The amplitude of a sine function is determined by the coefficient in front of the function, which in this case is -3.
The phase shift of the shifted equation Y=-3sin(2x) is 0, which means that the curve is not shifted horizontally compared to the original equation Y=sin(2x). This is because there is no term added or subtracted inside the function.