I am not exactly sure what the answer would be for this problem?! Not sure which one to pick! :c PLEASE HELP

Question

Which equation correctly solves for h, the x-coordinate of the vertex of a quadratic function, when starting with the equation for the vertex form of a parabola?

A) h=x+√y-k/a
B) h=x+√y+k/a
C) h=x+√a-k/y
D) h=x+√a-y/k

Answer 1

the vertex form is y = a(x-h)² + k

 

solve for h

 

y-k = a(x-h)²

 

 

(y-k)/a = (x-h)²

 

√[(y-k)/a] = x-h

 

h = x - √[(y-k)/a]    this is the answer using the principal square root

 

h = x + √(y-k)/a is choice A but it is not proper to use the negative square root so I would say none of the choices are correct.