Answer:
m = 2 and n = -10
Step-by-step explanation:
The given function is f(x) = x² + 4·x - 6
The form in which f(x) is to be written = (x + m)² + n, which is the standard form of a quadratic equation
We have;
f(x) = x² + 4·x - 6 = x² + 4·x + 4 - 6 - 4
f(x) = x² + 4·x + 4 - 6 - 4 = (x + 2)² - 10
f(x) = (x + 2)² - 10
By comparison with (x + m)² + n, we have;
m = 2, and n = -10
