I was just taught a formula to solve bijective functions, its shown below:
a[(x +b/2a)2 - (b2 - 4ac)/4a2]
It was used to solve the following problem:
f(x) = 4x2 - 2x + 3
write f(x) in the form f(x) = a(x-b)2 + c, (where x > p if f is invertible)
I would like to know what the formula is and how it can prove the function is bijective.
I'm new so forgive me, if i break the rules. Thankyou.