Find a, b, and c

[nycmathguy]

Section 4.5

Can you please help me with 71?

 

[MathLover1]

y=a*sin(bx-c)

71.
a=2 (the amplitude of the graph is the maximum height the graph reaches from the x-axis)

The period (the distance along the x axis that is required for the function to make one full oscillation)
one full oscillation is from, -pi/4 to pi+3pi/4=7pi/4 -> 8pi/4 =2pi

2pi/b=2pi
b=1

Phase Shift: pi/4 to the left =>c=-pi/4

The phase shift is the measure of how far the graph has shifted horizontally

y=2*sin(x-(-pi/4))
y=2*sin(x+ pi/4)

 

[MathLover1]

here are good links for you to see:

 

[nycmathguy]

y=a*sin(bx-c)

71.
a=2 (the amplitude of the graph is the maximum height the graph reaches from the x-axis)

The period (the distance along the x axis that is required for the function to make one full oscillation)
one full oscillation is from, -pi/4 to pi+3pi/4=7pi/4 -> 8pi/4 =2pi

2pi/b=2pi
b=1

Phase Shift: pi/4 to the left =>c=-pi/4

The phase shift is the measure of how far the graph has shifted horizontally

y=2*sin(x-(-pi/4))
y=2*sin(x+ pi/4)

These problems are a little bit more involved. I will check out the video clips before tackling the other questions.

 

[nycmathguy]

here are good links for you to see:

Who is Mr. 0?

 

[MathLover1]

Who is Mr. 0?

I don't know who is he. Mr. Oldridge
more about him:
https://matthewoldridge.medium.com/

his YouTube channel

https://www.youtube.com/channel/UCNc_349c3Kb4BPu0jRZMm4Q

 

[nycmathguy]

I don't know who is he. Mr. Oldridge
more about him:
https://matthewoldridge.medium.com/

his YouTube channel

https://www.youtube.com/channel/UCNc_349c3Kb4BPu0jRZMm4Q

What are your thoughts on Professor Leonard?

 

[MathLover1]

I like him, organized, easy to watch, easy to understand.

 

[nycmathguy]

I like him, organized, easy to watch, easy to understand.

I posted lots of questions. I think you should upload video lessons like Leonard. Get yourself a small white board, a few EXPO makers and you're all set. I also like Leonard. He is easy to watch. Wish I had time to watch his video lessons. He is very good.