minimum and maximum values

maximum: y ≤ y value of vertex

minimum: y ≥ y value of vertex

\ ==y=6x^2-1==

• x=-b/2a
• x= -0/2(6)=0
• y=0-1=-1
• $vertex= (0,-1)$
• $minimum of -1$
• $domain= all reals$
• $range y ≥ -1$
• $left of zero is decreasing$
• $right of zero is increasing$

\ \ ==y=(x+3)==(x-3)

• 0=(x+3)(x-3)
• x= -3
• x=3
• (-3+3)/2= 0
• y=(0+3)(0-3)   * y=(3)(-3)= -9
• $vertex= (0,-9)$
• $minimum: -9$
• $domain: all reals$
• $range y ≥ -9$
• $left of zero is decreasing$
• $right of zero is increasing$
• 

\ \