Question

Help me it’s really important

Answer 1

Explanation:

Quadratic equation has been given as,

`y=-x^(2) +6x+4`

Converting this equation into vertex form,

`y=-(x^(2)-6x)+4`

`y=-[x^(2)-2(3x)+9-9]+4`

`y=-[x^(2)-2(3x)+3^2]+4+3^2`

`y=-(x-3)^2+4+9`

`y=-(x-3)^2+13`

By comparing this equation with the vertex form of a quadratic equation,

y = (x - h)² + k

Here, (h, k) is the vertex of the parabola.

Vertex of the parabola → x = 3, y = 13

Axis of symmetry → x = 3