Question

Find the amplitude and the period of q(x) = -sin (π/2 x).

Answer 1

for the curve y = -asin(bx)

a = amplitude and the period is 2pi/b

in your question a = 1 the curve gets to a height of 1 unit from the centre of the curve

the period is 2pi/(pi/2) = 4

the period is 4 units.... or it takes 4 units for the curve to complete a full cycle.