Question

write the equation of the function represented by the following graph medal

Answer 1

See if you can determine

* The amplitude
* The period

Answer 2

3 and pi/4

Answer 3

The period is actually pi/2

Answer 4

But you have the right amplitude

Answer 5

got it then what next

Answer 6

The y-intercept is not 0, and the relative extrema is at the y-intercept, so we have a cosine function here

Since the y-intercept is negative, this means that the cosine function has a negative coefficient

Answer 7

General form

y = A*cos(Bx-C)+D

C = 0 and D = 0, so don't worry about those
|A| = amplitude
T = 2pi/B is the period

Answer 8

with T = 2pi/B you can solve for B to get

B = 2pi/T

plug in the period T=pi/2 and simplify

Answer 9

b=0 and t=0? @jim_thompson5910

Answer 10

T = pi/2 is the period

its not t = 0

Answer 11

\[\Large B = \frac{2\pi}{T}\]

\[\Large B = \frac{2\pi}{\pi/2}\]

\[\Large B = ??\]

Answer 12

b= 90 degrees

Answer 13

idk how you're getting that

Answer 14

http://www.wolframalpha.com/input/?i=+pi%2F2

Answer 15

0

Answer 16

can you simplify this expression?

\[\Large \frac{2\pi}{\pi/2}\]

Answer 17

1

Answer 18

not quite

Answer 19

\[\Large \frac{2\pi}{\pi/2} = \frac{2\pi}{1} \times \frac{2}{\pi} = ???\]

Answer 20

0

Answer 21

@jim_thompson5910

Answer 22

no, forget about the pi

think of the pi as x if you have to

Answer 23

2x/1 times 2/x simplifies to what?

Answer 24

4

Answer 25

so B = 4

Answer 26

what is A?

Answer 27

1

Answer 28

no, remember that above I said that |A| = amplitude

and you said earlier that the amplitude was 3

Answer 29

sorry it 3

Answer 30

it's actually -3 to make sure that the y-intercept is -3

Answer 31

so

A = -3
B = 4

Answer 32

y = A*cos(Bx-C)+D

A = -3
B = 4
C = 0
D = 0

Answer 33

so its y=-3cos(4x):)

Answer 34

y=-3cos(4x) is the answer

Answer 35

yes correct

Answer 36

thanks so much !!!