A parabola is given by the equation y=x^2-2x-3?

Hello!

What is the focus of the parabola given by the equation y = x2 - 2x - 3?

y = x2 - 2x - 3

y = x2 - 2x - 3 - 1 + 1y = (x - 1) ^2 - 4 h = 1 and k = - 4 and a = 1

Vertex (a, k) so it is (1,-4)

Now focus is

(1, - 4 + 1/4) = (1,-3 3/4)

or

(1,-3.75)

Yes.

Step-by-step explanation:

The x^2 makes it a parabola.

Because the coefficient of x^2 is positive the curve opens upwards.