Mathematics, 21.09.2019 19:30, daniel195

What are the period and phase shift for f(x) = 5 tan(2x − π)?

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answered: KittyLoverCat

$\text{Period}=\frac{\pi}{2}$

$\text{Phase shift}=\frac{\pi}{2}$

Step-by-step explanation:

We have been given a trigonometric function $f(x)=5\cdot \text{tan}(2x-\pi)$ . We are asked to find period and phase shift of the given function.

We know that when a function is in form $f(x)=A\cdot \text{tan}(B(x-C))+D$ , then:

$\text{Period}=\frac{\pi}{B}$

$\text{Phase shift}=C$

We can rewrite our given function as:

$f(x)=5\cdot \text{tan}(2(x-\frac{\pi}{2})$

$\text{Period}=\frac{\pi}{2}$

Therefore, period for our given function is $\frac{\pi}{2}$ .

We can see that value of C is pi divided by 2.

$\text{Phase shift}=\frac{\pi}{2}$

Therefore, phase shift for our given function is $\frac{\pi}{2}$ .

answered: Guest

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab in the y coordinate

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

x coordinate

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

y coordinate

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

x coordinate

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

y coordinate

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

x coordinate

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

y coordinate

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

x coordinate

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

y coordinate

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

x coordinate

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

y coordinate

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

x coordinate

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

y coordinate

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

x coordinate

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

y coordinate

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕

answered: Guest

step-by-step explanation:

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