Question

What is the vertex of the parabola given as x2 − 4x − 2y = 0

Answer 1

write
\[ x^2 − 4x − 2y = 0 \\ 2y= x^2 -4x \\ y= \frac{1}{2}x^2 -2x \]

the vertex of a parabola
its equation in the form
\[ y = ax^2 + bx + c\]
is x= -b/(2a)

use that value of x to find y using the equation y= ax^2 + bx + c