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 ▸The equation kx^2+4kx+5=0, where a is a constant, has no real roots. Find the range of possible values of k.
The line L1 has vector equation, L1 = ( 6, 1 ,-1 ) + λ ( 2, 1, 0). The line L2 passes through the points (2, 3, −1) and (4, −1, 1). i) find vector equation of L2 ii)show L2 and L1 are perpendicular.
Given a fixed parabola and a family of parallel lines with given fixed gradient, find the one line that intersects the parabola in one single point
How do rearrange y to make it the subject of an equation?