Ethan’s birthday party started at 4:30 p. m. The last guest left at 6:32 p. m. How long did Ethan’s party last?

2 hours and 2 minutes

Step-by-step explanation:

think about it this way 430 + 202 is 632 Wich is 4:30+ 2 hours and 2 minutes is 6:30

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

step-by-step explanation: