The graph of f(x)=cos(x) is transformed into a new function, g(x) , by stretching it vertically by a factor of 3 and shifting it
2 units to the left.
What is the equation of the new function g(x) ?
1 answer:
Answer:
g(x) = 3 cos (x+2)
Step-by-step explanation:
To transform functions use the following formula f(x) = a cos b(x -c) + d where:
- a stretches the function vertically
- b compresses or stretches it horizontally
- c shifts the function left or right
- d shifts the function up or down
Here a = 3 and c = 2.
So the new function is g(x) = 3 cos (x+2).
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