Question

f(x)=x2-4x-14How would you graph the function?Be sure to include all defining characteristics of the quadratic function in yourexplanation (vertex, min/max, axis of symmetry, -intercept, -intercepts, domain,range).

Answer 1

`f(x)=x^2-4x-14`

The x-intercepts are

`2+3√(2),\text{ }2-3√(2)`

The vertex is the point

`(2,-18)`

The minimum occurs at x = 2, its value is - 18

The axis of symmetry is the line x = 2

The y-intercept is the point ( 0, -14)

The domain is;

`(-\infty,\infty)`

The range is;

`(-18,\infty)`