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

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campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1well you need to distribute and collect like terms so the curve is in the form \[y = ax^2 + bx + c\] then the line of symmetry is \[x = \frac{b}{2 \times a}\] hope it helps

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i know i need to simplify the equation, how do i do this?

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1well start with the perfect square \[(x 2)^2 =?\] what does that become

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1nope \[(x 2)^2 = (x 2) \times (x 2) \] which can be written as \[x(x 2)  2(x2)\] can you distribute this..?

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1great so its \[x^2  4x + 4\] so you now have \[y + 3x  6 = 3(x^2  4x + 4) + 4\] so distribute the 3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0then subtract the 3x from 12x?

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1that's good so its \[y +3x  6 = 3x^2 +12x 8\] next add 6 to both sides of the equation

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1then lastly subtract 3 from both sides of the equation

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1so you will then have the coefficients for a and b and can find the line of symmetry

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1an alternative method is to start by factoring the right side \[y + 3(x 2) = 3(x 2)^2 + 4\] subtract 3(x 2) from both sides \[y = 3(x 2)^2 3(x 2) + 4\] so the coefficients are b = 3 and a = 3 and you are solving for (x 2) so the line of symmetry \[x 2 = \frac{(3)}{2 \times 3}\] which is \[x  2 = \frac{1}{2}\] now solve for x
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