The flip should tur after 2.4 scon
Given the following functions expressed as:
[tex]Y = - (x - 5)^2 + 3 \\y = -3(x - 6)^2 + x + 1[/tex]
Equating both expression will give
-(x-5)² + 3 = -3(x-6)² + x + 1
-(x-5)² +3(x-6)² + 3 - x - 1 = 0
-(x-5)² +3(x-6)² + 2 - x = 0
-(x² - 10x + 25) + 3(x²-12x + 36) + 2 - x = 0
x² + 10x - 25 + 3x² +36x + 108 + 2 - x = 0
4x² + 45x + 85 = 0
Factorize for the value of x
On factorizing, the value of x is 2.405
Hence the flip should tur after 2.4 sconds
Larn more on functions here: https://brainly.com/question/10439235