assume the graph of a function of the form y=asin(k(x+b)) is given below. which of the following are possible values for a, k, and b?
Answers
Answer:
C
Step-by-step explanation:
Okay, here we have the equation of the sine wave as;
y = asin(k(x + b))
By definition a represents the amplitude
k represents the frequency
b represents the horizontal shift or phase shift
Now let’s take a look at the graph.
By definition, the amplitude is the distance from crest to trough. It is the maximum displacement
From this particular graph, amplitude is 4
K is the frequency and this is 1/period
The period ;
Firstly we find the distance between two nodes here and that is 1/2 from the graph (3/4 to 1/4)
F = 1/T = 1/1/2 = 1/0.5 = 2
b is pi/4 ( phase is positive as it is increasing rightwards)
So the correct option here is C
Answer: it is
a=4, k=2, and b= pi/4
Step-by-step explanation:
got it right on A P E X
Related Questions
Which of the following investments could be represented by the function A = 250(1 + 0.08/12)12 × 4?
Answers
hello,
the first term is 250 so this is the initial invested amount
[tex](1+\dfrac{0.08}{12})^{12}=(1+\dfrac{8\%}{12})^{12}[/tex]
is to compute 8% annual interest compounded monthly (there are 12 months in a year)
and then multiply by 4 means that it is computed for 4 years so
finally the answer is
$250 is invested at 8% annual interest compounded monthly for 4 years
hope this helps
how to find the angel in trigonometry when all the lengths of the right angled triangle already given.
Answers
Answer:
The three trigonometric ratios can be used to calculate the size of an angle in a right-angled triangle
Use rule ; SOHCAHTOA .Where sin x = opp/hyp
cos x = adj/hyp
tan x= opp/adj
Substitute the given values for the three sides
into any of the above rules
[tex]example = Hyp = 2\\opp = 1\\sin- x = 1/2\\x = sin^{-1} 1/2\\x = 30[/tex]
Step-by-step explanation:
I Hope It Helps :)