What is the vertex form of # 3y = - 3x^2 + 12x + 7 #?

Question

1778 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-09T09:39:36

#(x-2)^2=-(y-19/3)#

Given quadratic equation:

#3y=-3x^2+12x+7#

#3y=-3(x^2-4x)+7#

#3y=-3(x^2-4x+4)+12+7#

#3y=-3(x-2)^2+19#

#y=-(x-2)^2+19/3#

#(x-2)^2=-(y-19/3)#

Above is the vertex form of parabola which represents a downward parabola with the vertex at

#(x-2=0, y-19/3=0)\equiv(2, 19/3)#