klaudiajane
contestada

the graph of y=sin(x-3x/2) is the graph of the y=sin(x) shifted in which direction?

a) 3x/2 units to the left

b)3x/2 units to the right

c)3x/2 units up

d)3x/2 units down

Respuesta :

3x/2 units to the right, so b).
It's not c) or d), because the -3x/2 is within the sin, rather than outside like y=sin(x)-3x/2
If it were shifted to the left, the equation would be y=sin(x+3x/2)

Answer:

b. [tex]\frac{3\pi}{2}[/tex] to the right.

Step-by-step explanation:

We are asked to find the translation applied on graph of [tex]y=\text{sin}(x)[/tex] to get [tex]y=\text{sin}(x-\frac{3\pi}{2})[/tex]

Let us recall the translation rules.

[tex]f(x+a)=\text{Graph shifted to left by a units}[/tex]

[tex]f(x-a)=\text{Graph shifted to right by a units}[/tex]

Upon looking at our given transformation we can see that graph of [tex]y=\text{sin}(x)[/tex] is shifted to right by [tex]\frac{3\pi}{2}[/tex] units to get [tex]y=\text{sin}(x-\frac{3\pi}{2})[/tex].

Therefore, option 'b' is the correct choice.

Otras preguntas