Answer:
The correct options are:
- g(x) is shifted three units higher than f(x).
- g(x) has a period that is half the period of f(x).
Step-by-step explanation:
We have to compare the graphs of the function:
![f(x)=\sin x](https://tex.z-dn.net/?f=f%28x%29%3D%5Csin%20x)
and ![g(x)=\sin 2x+3](https://tex.z-dn.net/?f=g%28x%29%3D%5Csin%202x%2B3)
We have to select the correct options among the following:
As we know that the period of sine function is 2π.
i.e. Period of function f(x) is: 2π.
The period of sin(2 x) is π.
Hence, the period of the function g(x) function is π.
- Hence, the period of g(x) is half the period of f(x).
- Also we could observe that g(x) is shifted 3 units upward.
<em>Answer:</em>
<em>The answer is 18k + 22p - 10</em>
<em>Step-by-step explanation:</em>
<em>That is the right answer </em>
Answer:
2.44 pints of white
Step-by-step explanation:
Answer:
Step-by-step explanation:
hello :
the point-slope formula is :
y - y_1 = m(x - x_1) the point is A(x_1 , y_1 ) , m : the slope
in this exercice : x_1 = 6 y_1 = 8 m = -2
so : y - 8 = -2(x - 6) ...an equation for this line .
The correct answer is:
[B]: "
![\frac{(-3)(4)}{(6)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28-3%29%284%29%7D%7B%286%29%7D%20)
" .
__________________________________________________________Consider choice [A]: ![\frac{(3)(4)}{(6)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%283%29%284%29%7D%7B%286%29%7D%20)
;
=
![\frac{12}{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B12%7D%7B6%7D)
;
= 2 ; "2 ≠ -2" ; so we can rule out: "Choice [A]" .
__________________________________________________________Consider choice [B]: ![\frac{(-3)(4)}{(6)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28-3%29%284%29%7D%7B%286%29%7D%20)
;
=
![\frac{-12}{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-12%7D%7B6%7D)
;
= "-2" ; Yes!
→ Let us proceed with the final answer choice ;
__________________________________________________________Consider choice [C]:
![\frac{(-3)(-4)}{(6)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28-3%29%28-4%29%7D%7B%286%29%7D%20)
;
=
![\frac{12}{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B12%7D%7B6%7D)
;
= 2 ; "2 ≠ -2" ; so we can rule out: "Choice [C]" .
__________________________________________________________The correct answer is:
[B]: "
![\frac{(-3)(4)}{(6)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28-3%29%284%29%7D%7B%286%29%7D%20)
" .
__________________________________________________________