Castle learning question
which is an equation of the axis of symmetry of the graph of the equation y=x2-6x+2?
Hello, strdatmage!
Which is an equation of the axis of symmetry of the graph of: .$\displaystyle y\:=\:x^2-6x+2\,?$
It is worthwhile to learn this formula . . .
For the parabola: $\displaystyle y \:=\:ax^2 + bx + c$
. . the axis of symmetry is: .$\displaystyle x \:=\:\frac{\text{-}b}{2a}$
[Think of the "front half" of the Quadratic Formula.]
In this problem: .$\displaystyle a = 1,\;b = \text{-}6,\;c = 2$
We have: .$\displaystyle x \:=\:\frac{\text{-}(\text{-}6)}{2(1)} \:=\:3$
The axis of symmetry is the vertical line: $\displaystyle x \,=\,3.$