Answer:
The transformations required to obtain the graph of the function f(x) from the graph of the function g(x) is vertical stretch
Step-by-step explanation:
We need to describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).
We have g(x) = cos x
After transformation we get
f(x)= 9 cos x
According to transformation rule:
if f(x) is transformed into a.f(x) then the transformation is vertical stretch or compression.
- if a > 1 then transformation is vertical stretch
- if 0 < a < 1 then transformation is vertical compression
In our case
g(x)= cos x
f(x) = 9 cos x
a=9 and a>1 so, the transformation is vertical stretch.
So, The transformations required to obtain the graph of the function f(x) from the graph of the function g(x) is vertical stretch
<h3>
Answer: True</h3>
The key word here is "may" meaning that we could easily have 3 rational roots as well. An example of a cubic having 3 irrational roots would be
(x-1)(x-2)(x-3) = x³ - 6x² + 11x - 6
This has the rational roots x = 1, x = 2, x = 3.
However, we could easily replace 1,2,3 with any irrational numbers we want. So that's why the statement "a cubic has three irrational roots" is sometimes true.
In some cases, a cubic may only have 1 real root and the other 2 roots are imaginary.
Answer:
38
Step-by-step explanation:
5+5=10+14+14=38