Please help I think its 16 but not sure
1 answer:
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Recall the Maclaurin expansion for cos(x), valid for all real x :
Then replacing x with √5 x (I'm assuming you mean √5 times x, and not √(5x)) gives
The first 3 terms of the series are
and the general n-th term is as shown in the series.
In case you did mean cos(√(5x)), we would instead end up with
which amounts to replacing the x with √x in the expansion of cos(√5 x) :
Answer:
31. 1) Vertical shift up 4 units.
2) Horizontal shift right 1 unit.
3) Vertically stretched by a factor of 3.
32.
Step-by-step explanation:
Some transformations for a function f(x) are shown below:
- If , the function is shifted up "k" units.
- If , the function is shifted down "k" units.
- If , the function is shifted left "k" units.
- If , the function is shifted right "k" units.
- If , the function is reflected over the x-axis.
- If and
, the function is stretched vertically by a factor of "b".
31. Given the function and the function
, we can notice that the transformations from the graph of f(x) to the graph of g(x) are:
1)
2)
3) , being
Therefore, we can conclude that the transformations necessary to transform the graph of f(x) to the graph g(x) are:
1) Vertical shift up 4 units.
2) Horizontal shift right 1 unit.
3) Vertical stretch by a factor of 3.
32. Knowing the parent function:
And given the transformations:
1) Reflection over the x-axis.
2) Horizontal shift left 3 units.
3) Vertical shift up 7 units.
We can define that the function g(x) is: