Question 889859:  In the equation f(x)=a (x-h)^2 +k, if a > 0, h< 0, and k <, Which of the following statements must be true? 
(a) The parabola opens upward and has a vertex in the 3rd quadrant. 
(b) The parabola opens upward and has a vertex in the 4th quadrant. 
© The parabola opens downward and has vertex in the 3rd quadrant. 
(d) The parabola opens downward and has a vertex in the 4th quadrant. 
 Answer by solver91311(24713)      (Show Source): 
You can  put this solution on YOUR website! 
 
 
Quadratic functions with positive lead coefficients open upward and with negative lead coefficients open downward.  Both coordinates positive is Q1, x negative, y positive is Q2, both negative Q3, x positive, y negative is Q4.
 
 
John 
  
My calculator said it, I believe it, that settles it 
 
 
  | 
 
  
 
 |   
 
 |