convert the Function to Degrees Fahrenheit:
3. Suppose you want to represent the desert temperature in degrees Fahrenheit instead. How would you transform the function C(t) to make the new function, F(t)? (2 points: 1 point for each transformation)
Note: The conversion rule for Celsius to Fahrenheit is .
F(t)=95(-0.30(t-12)2+40)+32

f(t)=-0.54(t-12)2+72+32

4. Take your values from the previous chart (in question 2) and convert them from Celsius to Fahrenheit. Follow the example below, and use the conversion rule to fill out the chart for degrees Fahrenheit when t = 12 and t = 24. (2 points: 1 point for each row)
t

0

12
(12,24)
c(0)=95(24)+32

24

5. Use the conversion formula to write the equation for the new function, F(t).
(4 points: 2 points for setting up the equation, 2 points for the answer)
Hint: Substitute the equation for C(t) into .

6. Plot the points from the Fahrenheit chart in question 4 onto the graph below. Use the plotted points to sketch out the graph of F(t). (3 points: 2 points for correct coordinates, 1 point for correct shape)

7. Compare the graph in question 6 (F(t)) with the graph in question 2 (C(t)). What changes were made to the graph of C(t) to transform it to F(t)? (1 point)

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MrRoyal MrRoyal · Answer 1 · 2022-07-20T11:40:18+02:00

The changes that transform C(t) to F(t) is that the function C(t) is stretched vertically to form the function F(t)

The Fahrenheit function

The Celsius function is given as:

C(t) = -0.30 (t – 12)² + 40

The conversion from Celsius to Fahrenheit is

F(t) = 9/5 * C(t)

Hence, the Fahrenheit function is F(t) = 9/5 * C(t)

Convert values from Celsius to Fahrenheit

The values are t = 0, 12 and 24.

So, we have:

F(0) = -0.54(0 - 12)² + 72 = -5.76

F(12) = -0.54(12 - 12)² + 72 = 72

F(24) = -0.54(24 - 12)² + 72 = -5.76

The new function F(t)

The conversion from Celsius to Fahrenheit is

F(t) = 9/5 * C(t)

So, we have:

F(t) = 9/5 * (-0.30 (t – 12)² + 40)

Expand

F(t) = -0.54(t – 12)² + 72

Hence, the new function is F(t) = -0.54(t – 12)² + 72

The graph of function F(t)

See attachment for the graph of function F(t)

The changes that transform C(t) to F(t)

We have:

C(t) = -0.30 (t – 12)² + 40

F(t) = 9/5 * C(t)

The above implies that the function C(t) is stretched vertically to form the function F(t)

Read more about composite functions at:

https://brainly.com/question/20379727

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