Question

What are the coordinates of the vertex of the parabola given by the equation: y = x2 - 2x - 2 ?
A. (0, -2)
B. (1, -3)
C. (4, 6)
D. (-2, 6)

Answer 1

The general equation of a parabola is: y = ax^2 + bx + c ---- (1)
The x-coordinate of the vertex of the parabola is: -b/(2a)
Once you find the x-coordinate you can find the y-coordinate by putting the x value in (1)

Answer 2

at vertex of the parabola slope of graph is Zero.

so lets first calculate slope and put that equal to zero.

\[\frac{ dy }{ dx }= 2x-2 = 0\]

\[\implies x = 1\]

when \[x=1\], \[y =-3\]

hence vertex is (1,-3)