Using transformation rules and your knowledge of trigonometric functions, draw the graph y=2sin(2x)
would use paper to show the student the final answer Your answer will be based around the graph of y=sin(x), which has a y maximum of 1 and minimum of -1, and one full cycle is completed by 2 pi. First y=2sin(x) will alter y=sin(x) by multiplying the graph by 2 in the y direction, so the graph will now have a y maximum of 2 and a minimum of -2. When you transform y=2sin(x) into y=2sin(2x), the x values are multiplied by the reciprocal of 2, which is 0.5. This will now mean that one full cycle of the sine wave will take just 1 pi.
VM
Related Maths A Level answers
All answers ▸Given y = 4x/(x^2 +5) find dy/dx, writing your answer as a single fraction in its simplest form
Solve the equation d/dx((x^3 + 3x^2)ln(x)) = 2x^2 + 5x, leaving your answer as an exact value of x. [6 marks]
Find the exact solutions for 4 − x^2 = |2x − 1|
Find the values of the constants a and b for which ax + b is a particular integral of the differential equation 2y' + 5y = 10x. Hence find the general solution of 2y' + 5y = 10x .