Question

What is the axis of symmetry for the graph of

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

Answer 1

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

Answer 2

what is b and a?

Answer 3

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.

Answer 4

quadratic equation*

Answer 5

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

Answer 6

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