The engineer wants to modify the roller coaster design by transforming the function. Which represents 2 f (0.3 x minus 1) + 10, the modified design of the roller coaster?

Y = 2f (0.15x²-10x+C)

Step-by-step explanation:

Given the function:

Y = 2f (0.3x - 1) + 10

Therefore, to transform the function

We have to compare with a general function and integrate.

g (x) = f (bx + c).

We now integrate to transform the function which gives us

Y = (2f) integral {0.3x - 1} + 10

Y = 2f { 0.15x² - x } + 10x + c

Y = 2f (0.15x²-10x+C)

Modified design of roller coaster is

Y = 2f (0.15x²-10x+C)