Im even worse at this
2 answers:
You might be interested in
Answer:
7 in both boxes
Step-by-step explanation:
In the picture, it shows
4 (x - 3) = 20
and then it shows
4 (x) - 4 (3) = 20
so practically you separate the x and 3 and put them in parentheses and then put a 4 next to both of them.
It should be the same as your question.
7 x (8 - 3)
and then separate 8 and 3 and put a 7 next to both of them.
( 7 x 8) - ( 7 x 3)
Hope it helps and have a great day! =D
~sunshine~
Answer:
The equation of the graph below is y = 0.5 csc[0.5(x + π/2)] - 1 ⇒ 3rd answer
Step-by-step explanation:
* Lets revise the trigonometry transformation
- If the equation is y = A csc(B(x + C)) + D
# Amplitude is A
- The Amplitude is the height from the center line to the peak .
Or we can measure the height from highest to lowest points and
divide that by 2
# period is 2π/B
- The Period goes from one peak to the next
# phase shift is C (positive is to the left)
- The Phase Shift is how far the function is shifted horizontally
from the usual position.
# vertical shift is D
- The Vertical Shift is how far the function is shifted vertically from
the usual position.
- If y = csc(x)
∴ A = 1 , B = 1 , C = 0 , D = 0
- That means the amplitude is 1, the period is 2π, no phase shift
or vertical shift
* Now lets solve the problem
- From the graph
# The amplitude = (-0.5 - -1.5)/2 = 0.5
∴ A = 0.5
# The period is from 2.5π to -1.5π
∴ The period is 4π
∵ The period = 2π/B
∴ 4π = 2π/B ⇒ by cross multiplication
∴ B = 2π/4π = 1/2 = 0.5
* There is only one answer has A = 0.5 and B = 0.5
∴ y = 0.5 csc[0.5(x + π/2)] - 1
* The equation of the graph below is 0.5 csc[0.5(x + π/2)] - 1
* For more understand look to the color graph
- The blue graph is y = csc(x)
- The green graph is y = 0.5 csc[0.5(x + π/2)] - 1
