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

Question

asked Sep 22, 2020 60.3k views

2 Answers

Debo · Answer 1 · 2020-09-27T12:46:25+0000

ANSWER

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)