Function y = - 2x & # 178; + 4x + 6 opening direction, symmetry axis, vertex coordinates, intersection coordinates with X axis, intersection coordinates with y axis

Function y = - 2x & # 178; + 4x + 6 opening direction, symmetry axis, vertex coordinates, intersection coordinates with X axis, intersection coordinates with y axis

y=-2x²+4x+6
=-2(x²-2x+1-1)+6
=-2(x-1)²+8
Because a = - 2 < 0, the function opens downward
From X-1 = 0, the axis of symmetry is x = 1,
Vertex coordinates are (1,8)
Let y = 0, then - 2x & # 178; + 4x + 6 = 0
x²-2x-3=0
(x+1)(x-3)=0
The solution is x = - 1 or x = 3
So the intersection of this function and X axis is (- 1,0), (3,0)
Let x = 0 and y = 6
So the intersection of the function and the Y axis is (0,6)