Question

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

Answer 1

ANSWER

$x =\frac{3}{ 2}$

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:

$x = - \frac{b}{2a}$

Plug the values to get:

$x = - \frac{9}{ 2(- 3)}$

$x =\frac{3}{ 2}$

The equation of axis of symmetry is

$x =\frac{3}{ 2}$

Answer 2

Answer:

the answer is A on edgen

Step-by-step explanation: