Question

The graph below shows height as a function of time for a ride on a Ferris wheel. Find a sine equation for the graph.

Answer 1

Any guesses?

Answer 2

Err, C rather

Answer 3

check for B

Answer 4

So, Im gonna guesstimate B.

Answer 5

Why? Haha!

Answer 6

Oh, no particular reason.

Answer 7

check the amplitude of the graph which is 20 units

Answer 8

Haha, like playing darts with your eyes closed?

Answer 9

Yeah I'm pretty confident with B.

Answer 10

the lowest point in the graph is 5 and the highest point is 45 so the mean is at 25 and hence the amplitude is 20

Answer 11

Thanks

Answer 12

Final answer?

Answer 13

Still going with B

Answer 14

I'm wrong, ar'nt I?

Answer 15

I would agree with your final answer... BUT YOU SHOULD BE CONFIDENT!

Answer 16

*arn't

Answer 17

Success

Answer 18

Haha, I bet the \(\Large\frac{3\pi}{2}\) part threw you off.

Answer 19

Everything throws me off

Answer 20

Lies...

Answer 21

The thing added to the \(x\), which was \(\Large\frac{3\pi}{2}\) here, is the horizontal shift. Note that sin starts in the middle of its range and then gets bigger. Well, the graph started at \[sin\left(\frac{3\pi}{2}\right)\]when \(x\) was \(0\). I could point out how it works on the unit circle, but I bet that sounds painful.

Answer 22

Yeah, I'm just gonna nod my head in agreement. And we won't take it any further.

Answer 23

Understood.