please help me solve this !

The equation of a function f(x) = x² -4x -12 in the vertex form is f(x) = (x -2)² -16 and the value of the a = 1, h = 2, and k = -16
Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
We have a quadratic equation:
f(x) = x² -4x -12
f(x) = x² -4x -12 + 4 -4
f(x) = (x -2)² -16
Here a = 1, h = 2, and k = -16
Thus, the equation of a function f(x) = x² -4x -12 in the vertex form is f(x) = (x -2)² -16 and the value of the a = 1, h = 2, and k = -16
Learn more about quadratic equations here:
brainly.com/question/2263981
#SPJ1