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Trava [24]
3 years ago
9

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

Mathematics
2 answers:
asambeis [7]3 years ago
7 0

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}

liraira [26]3 years ago
7 0

Answer:

the answer is A on edgen

Step-by-step explanation:

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