Question

Which transformation would you use to change this equation to that equation?

Answer 1

Step-by-step explanation

Given the function

`f(x)=cosx`

Steps:

1) shift the function f(x)=cosx to the left by 45 units

`cox(x+45)`

2) Stretch horizontally by 5 units.

`cos((1)/(5)(x+45))`

3) Reflect over the x-axis

`-cos((1)/(5)(x+45))`

4) stretch vertically by 3 units

`-3cos((1)/(5)(x+45))`

5) shift downwards by 2 units

`g(x)=-3cos((1)/(5)(x+45))-2`