What are the coordinates of the vertex of the function f(x)=x^2+10x−3? (–5, –28) (–5, 28) (5, –28) (5, 28)

(-5,-28)

Step-by-step explanation:

Given

Required

Find the coordinates of the vertex

Given that the function is a quadratic function;

The general form of a quadratic function is

By comparison;

To calculate the coordinates of the vertex;

we start by calculating the x-coordinate;

Substitute 10 for b and 1 for a

Substitute in the given function;

Hence, the coordinates of the vertex is (-5,-28)

x = 3 ± √(5+y)