What is the axis of symmetry for the graph of

y=2x^2-6x+2
?
x=___

Question

What is the axis of symmetry for the graph of

y=2x^2-6x+2
?
x=___

mertsj · Answer

The axis of symmetry is the vertical line through the vertex.  So use x = -b/2a and find the x coordinate of the vertex.

anonymous · Answer

what is b and a?

jhannybean · Answer

your equation relates to the quadratic formula: $$y=ax^2+bx+c$$ and your equation is $$y=2x^2-6x+2$$ once you use your "b" and "a" from this equation to find $$x=\frac{ -b }{ 2a }$$ which is the x-coordinate of the point on the vertex, you will use that x-value in your original equation to find the y-coordinate. then you will have found your (x,y) point that is your vertex point.

jhannybean · Answer

quadratic equation*

anonymous · Answer

so then it would be 6 over 2(2)?

jhannybean · Answer

Yes. $$x=\frac{ -(-6) }{ 2(2) }$$