The vertex of this parabola is at (-3, 6). which of the following could be its equation?
a. y = -3(x + 3)2 + 6
b. y = -3(x + 3)2 - 6
c. y = -3(x - 3)2 + 6
d. y = -3(x - 3)2 - 6

Hello,

A is your answer

(-3,6) must be a point of the curve.

A) if x=-3 then y=-3(-3+3)²+6=6
y'=-3(x+3)=0==>x=-3
and y=6

B) if x=-3 then y=-3(-3+3)²-6=-6 and not 6
 
C) if x=-3 then y=-3(-3-3)²+6=-3*36+6= -102 and not 6

D) -3(-3-3)²-6=-3*36-6=-114

The correct awnser is 29.76 pounds.