Need help on this I don’t understand.

(9.2 , 0)

Step-by-step explanation:

vertex: (4.6 , 12.2)

parabola: y = a (x-4.6)² + 12.2

pass (0,0):  0 = a (0-4.6)² + 12.2

a = - (12.2/21.16)

2nd root (x , 0):  y=0

0 = a (x-4.6)² + 12.2           (x-4.6)² = - 12.2 / a = -12.2 / (- (12.2/21.16)) = 21.16

x - 4.6 = ± √21.16 = ± 4.6

x = 0 or x = 9.2

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral