Answer:
The vertex is located at (1,-4)
Step-by-step explanation:
Equation of the Quadratic Function
The vertex form of the quadratic function has the following equation:
[tex]y=a(x-h)^2+k[/tex]
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
We have the following quadratic equation and we need to express it in vertex form. Thus, we need to complete the squares:
[tex]y=x^2-2x-3[/tex]
Adding and subtracting 1:
[tex]y=x^2-2x+1-3-1[/tex]
The first three terms are the square of a binomial:
[tex]y=(x-1)^2-4[/tex]
Comparing to the vertex form of a quadratic equation, the vertex is at (1,-4).
The vertex is located at (1,-4)
