Question

What is the equation of the axis of symmetry of the graph of y + 3x – 6 = –3(x – 2)2 + 4?

Answer 1

the answer is A on edgen

Explanation:

Answer 2

`x =(3)/( 2)`

EXPLANATION

The given equation is

`y + 3x - 6 = - 3(x - 2)^(2) + 4`

Expand the parenthesis:

`y + 3x - 6 = - 3( {x}^(2) - 4x + 4) + 4`

`y + 3x - 6 = - 3 {x}^(2) + 12x + - 12 + 4`

Write in standard form:

`y = - 3 {x}^(2) + 12x - 3x+ - 12 + 4 + 6`

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

where

`a=-3,b=9,c=-2`

The axis of symmetry is given by the formula:

`x = - (b)/(2a)`

Plug the values to get:

`x = - (9)/( 2(- 3))`

`x =(3)/( 2)`

The equation of axis of symmetry is

`x =(3)/( 2)`