find the equation of the axis of symmetry for the parabola y = x^2 - 2x. simplify any numbers and write them…

Explanation:

Step1: Recall axis - of - symmetry formula

For a parabola in the form $y = ax^{2}+bx + c$, the equation of the axis of symmetry is $x=-\frac{b}{2a}$.

Step2: Identify a and b values

In the given parabola $y=x^{2}-2x$, we have $a = 1$ and $b=-2$.

Step3: Calculate the axis of symmetry

Substitute $a = 1$ and $b=-2$ into the formula $x =-\frac{b}{2a}$. So $x=-\frac{-2}{2\times1}$. $x = 1$

Answer:

$x = 1$