You have to make a cos graph that starts its minimum and of -2, has an amplitude of 10, a period of 10 and a maximum of 18.
I decided to use a cos graph since cos graphs start at their minimum or maximum unlike a sine graph that starts halfway between the minimum and maximum. You also know the amplitude has to be 10 since 18+2=20 and 20/2=10. We were also told that the water wheel completels a rotation every 10 minutes which means the period is 10 minutes.
lets start of with a regular cos(x) graph. This starts on its maximum instead of minimum so we have to multiply it by -1 to get -cos(x) which does start on its minimum.
-cos(x) has an amplitude of 1 instead of 10, to fix that we multiply it by 10 to get -10cos(x) which has an amplitude of 10.
-10cos(x) has a period of 2π instead of 10, to fix this we multiply the x by 2π/10 to get -10cos((π/5)x) which now has a period of 10.
-10cos((π/5)x) has a minimum of -10 and maximum of 10 instead of a minimum of -2 and maximum of 18, to fix this we add 8 to -10cos((π/5)x) to get -10cos((π/5)x)+8 which does have a minimum of -2 and maximum of 18.
Therefore the answer is y=-10cos((π/5)x)+8. x being time in minutes and and y being the height in feet.
I hope this helps. Let me know if anything is unclear.
Its a and b because it simply doesn't make any sense <span />
The type of function that best models the data in the table is the quadratic function
<h3>How to determine the function type?</h3>
The table of values is represented as:
x: 4 6 8 10 12
y : 118 142 150 142 118
From the above table, we can see that:
- The y values increase from 118 to 150
- The y values then decrease to 118
- The x values increase
This is only possible in a quadratic function
Hence, the type of function that best models the data in the table is the quadratic function
Read more about quadratic function at:
brainly.com/question/1214333
#SPJ1
360° = 120° + 10x + 4x + y
360° = 120°<span> + 14x + y
</span>240° = <span>14x + y
</span>240° - <span>14x = y
</span>
That's all I can do
Hi again!
I used an online calculator to help me graph each of the functions.
The correct answer is option D
Let me know if you have any questions about the answer!
