Quadratics: Graphing Tips

Note whether the parabolas represented by the following equations open upward or downward and if they are narrow, wide, or "normal."

1. $y=x^2+9x-8$: upward, normal width
2. $y=2x^2+5+3$: upward, narrow
3. $y=-.5x^2+2x-4$: downward, wide
4. $y=\dfrac{1}{3}x^2+5x-2$: upward, wide
5. $y=-\dfrac{1}{8}x^2+1x-.5$: downward, wide

Draw a quick sketch of the following equations on a coordinate plane. 

6. $y=2x^2+6x-4$ 
   
   
   
   
   
    
7. $y=-3x^2+5x+3$ 
   
   
   
   
   
   
    
8. $y=\dfrac{1}{2}x^2+8x-1$ 
   
   
   
   
   
   
    
9. $y=(x-4)^2+5$ 
   
   
   
   
   
   
   
    
10. $y=-2(x+3)^2-1$ 
    
    
    
    
    
    
     

Match the following equations to the graphs below:

11. $y=-\dfrac{1}{2}x^2+2x+3$: D
12. $y=x^2+2x+1$: A
13. $y=2x^2-2x+4$: B
14. $y=-3x^2+2x-2$: C