How does the graph of f(x)=4 cos(1/2x)-3 differ from the graph of g(x)=4 cos(x)-3
2 answers:
Answer:
The function f(x) is stretched horizontally.
Step-by-step explanation:
We are asked to determine how the graph of differ from the graph of
.
Let us recall transformation rules of functions.
If function compresses horizontally.
If function stretches horizontally.
Upon looking at function , we can see that the value of 'a' is less than 1 that is
, therefore, the function f(x) is stretched horizontally.
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now, this polynomial has roots of 3-i and 4i, namely 3 - i and 0 + 4i.
let's bear in mind that a complex root never comes all by her lonesome, her sibling is always with her, the conjugate, so if 3 - i is there, 3 + i is also coming along, likewise if 0 + 4i is there, her sibling 0 - 4i is also there.