Shows the graph of the function Shows the graph of the funct

Shows the graph of the function Shows the graph of the function

Solution

a) Solution : the given graph is f(x)= - cos(x)

Explanation: if we notice the graph carefully, it is clear that it is the graph of cos(x) reflected over x axis.and the transformation requires to reflect the graph about x axis is f(x) = - f(x). our base function here is cos(x) and if we change the sign of cos(x) to -cos(x), we get the graph as shown in fig. 1.

b) Solution : the given graph is f(x) = - sin(x)

Explanation: if we notice the graph carefully, it is clear that it is the graph of sin(x) reflected over x axis. The transformation requires to reflect the graph about x axis is f(x) = - f(x). our base function here is sin(x) and if we change the sign of sin(x) to -sin(x), we get the graph as shown in fig. 2.