>>what are the roots if in factored form it is y=(2x-3)(3x+4)?<<

----------------------------

The "roots" are found by replacing y by 0 and solving for x

y = (2x-3)(3x+4)

0 = (2x-3)(3x+4)

set each parenthetical factor = 0

2x-3=0, or x = 3/2

3x+4=0, or x = -4/3

-----------------------------

what is the axis of symmetry?

The equation of the axis of symmetry is

x = (the average of the two roots)

or rather:

x = (r1 + r2)/2

x = [(3/2) + (-4/3)]/2 

x = (3/2 - 4/3)/2

x = (9/6 - 8/6)/2

x = (1/6)/2

x = 1/12

That's its equation, x = 1/12

Edwin 

Answer by twilightlover(1)   (Show Source): You can put this solution on YOUR website!
 (2x-3)

2x=+3

x=3/4



(3x+4)

3x=-4

x=-4/3 

RELATED QUESTIONS

question 1 
make use of the following quadratic equation and answer the question that... (answered by Alan3354)

what is the axis of symmetry for... (answered by Shin123)

What is the axis of symmetry of the equation... (answered by Alan3354)

What is the axis of symmetry of... (answered by rfer)

What is the equation of the axis of symmetry of the graph of... (answered by jim_thompson5910)

please help me. i need help i cant figure this out.


if the roots of y = x2 + 10x +... (answered by solver91311)

What is equation of the axis of symmetry for y=-3(x-4)^2
 (answered by MathLover1)

if y=2x(squared)+6x+1 what are the coeffecients, what is the vertex of the parabola, what  (answered by MRperkins)

What is the equation of the axis of symmetry of the graph of... (answered by josgarithmetic)