Explanation
Given the function
[tex]f(x)=cosx[/tex]
Steps:
1) shift the function f(x)=cosx to the left by 45 units
[tex]cox(x+45)[/tex]
2) Stretch horizontally by 5 units.
[tex]cos(\frac{1}{5}(x+45))[/tex]
3) Reflect over the x-axis
[tex]-cos(\frac{1}{5}(x+45))[/tex]
4) stretch vertically by 3 units
[tex]-3cos(\frac{1}{5}(x+45))[/tex]
5) shift downwards by 2 units
[tex]g(x)=-3cos(\frac{1}{5}(x+45))-2[/tex]
