I need to combine C (t) = 1/5 t ^2 + 9 and F = 9/5 C + 32
So it starts out placing C(t) where C is in the second function
I came up with y=9/5(1/5t^2+9)+32
I came up with the answer y=9/25t^2+241/25
However the answer came up wrong when I entered in. Help Please? Below is the original problem with a few errors from copying...
The temperature on a certain afternoon is modeled by the following function, where t represents hours after 12 noon (0<t< 6), and C is measured in °C.
C (t) = 1/5 t^2 + 9
(a) What shifting and shrinking operations must be performed on the function y = t^2 to obtain the function y = C(t)? (Select all that apply.)
1Shift y upward 9 units
Shrink y vertically by a factor of 1/5
(b) Suppose you want to measure the temperature in °F instead. What transformation would you have to apply to the function y = C(t) to accomplish this? (Use the fact that the relationship between Celsius and Fahrenheit degrees is given by F = 9/5 C + 32.)
2Shift y upward 32 units
Stretch y vertically by a factor of 9/5
(c) Write the new function y = F (t) that results from this transformation.
F (t) =
So it starts out placing C(t) where C is in the second function
I came up with y=9/5(1/5t^2+9)+32
I came up with the answer y=9/25t^2+241/25
However the answer came up wrong when I entered in. Help Please? Below is the original problem with a few errors from copying...
The temperature on a certain afternoon is modeled by the following function, where t represents hours after 12 noon (0<t< 6), and C is measured in °C.
C (t) = 1/5 t^2 + 9
(a) What shifting and shrinking operations must be performed on the function y = t^2 to obtain the function y = C(t)? (Select all that apply.)
1Shift y upward 9 units
Shrink y vertically by a factor of 1/5
(b) Suppose you want to measure the temperature in °F instead. What transformation would you have to apply to the function y = C(t) to accomplish this? (Use the fact that the relationship between Celsius and Fahrenheit degrees is given by F = 9/5 C + 32.)
2Shift y upward 32 units
Stretch y vertically by a factor of 9/5
(c) Write the new function y = F (t) that results from this transformation.
F (t) =