The equation of the parabola given is \( y = 10x^2 - 2x \).
To find the axis of symmetry for a parabola in the form \( y = ax^2 + bx + c \), we can use the formula:
\[ x = -\frac{b}{2a} \]
In this case, we have:
- \( a = 10 \)
- \( b = -2 \)
Now, substituting these values into the formula:
\[ x = -\frac{-2}{2 \cdot 10} = \frac{2}{20} = \frac{1}{10} \]
Thus, the equation of the axis of symmetry is:
\[ x = \frac{1}{10} \]