Minimum value, because the a value is positive

Maximum value, because the b value is positive

Maximum value, because the a value is positive

Minimum value, because the c value is negative

$y=3(x+1)^2-8$

$y=3(x-1)^2-8$

$y=3(x+2)^2-8$

$y=3(x-2)^2-8$

Two real and different roots

Two real and equal roots

No real roots

Two real and different roots

Two real and equal roots

No real roots

 $1,\ 5$  

 $-1,\ 5$  

 $1,-5$  

 $-1,-5$  

 $a=−1,\ h=−2,\ k=16$  

 $a=−1,\ h=−2,\ k=−16$  

 $a=1,\ h=2,\ k=16$  

 $a=−1,\ h=2,\ k=16$  

 $-1,\ 4$  

 $1,\ 4$  

 $1,\ -4$  

 $-1,\ -4$  

Two different real roots

Two equal real roots

No real roots

 $x=2$  

 $x=-2$  

 $x=3$  

 $x=-3$  

 $f\left(x\right)=\left(x-6\right)^2-39$  

 $f\left(x\right)=\left(x-6\right)^2+39$  

 $f\left(x\right)=\left(x+6\right)^2+39$  

 $f\left(x\right)=\left(x+6\right)^2-39$