Question

Which is an equation of the axis of symmetry of the graph of the equation y= x^2-6x+2?

1) x=-3
2) y=-3
3) x=3
4) y=3​

Answer 1

x=3

Explanation:

The equation is written in the form ax2+bx+c. As you can see, a=1, b=-6 and c=2. The axis of symmetry is worked out by x=−b2a.

−(−6)2(1) = 62=3

Substituted this value of x back into the equation to find the y coordinate.

y=(3)2−6(3)+2

y=9−18+2

y=−7q

So the vertex of the line is at (3,-7)