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

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Answer 1 · 2018-04-10T16:30:37

$x=3$

The equation is written in the form $ax^2+bx+c$ . As you can see, a=1, b=-6 and c=2. The axis of symmetry is worked out by $x=(-b)/(2a)$ .

$(-(-6))/(2(1)$ = $6/2 = 3$

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

$y = (3)^2 -6(3) + 2$
$y = 9 -18+2$
$y = -7$

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

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