How to plot the graph of #f(x)= -2sin x#?

1 Answer
Oct 26, 2015

The graph of #(-2sin(x)# has all the points of the graph #sin(x)# increased by a factor of #2# and then reflected in the X-axis

Explanation:

Some sample values:
#{: (color(black)(x),color(white)("XXX"),color(black)(sin(x)), color(white)("XXX"),color(black)(-2sin(x))), (0,color(white)("XXX"),0,color(white)("XXX"),0), (pi/6,color(white)("XXX"),1/2,color(white)("XXX"),-1), (pi/4,color(white)("XXX"),sqrt(2)/2,color(white)("XXX"),-sqrt(2)), (pi/3,color(white)("XXX"),sqrt(3)/2,color(white)("XXX"),-sqrt(3)), (pi/2,color(white)("XXX"),1,color(white)("XXX"),-2) :}#

graph{-2sin(x) [-3.345, 9.14, -3.37, 2.87]}