The arrow is pointing at the y-intercept. The y value of this point is equivalent to the maximum/minimum 

The arrow is pointing at the vertex. The x value of this point is equivalent to the maximum/minimum

The arrow is pointing at the solution. The y value of this point is equivalent to the maximum and the x value is equivalent to the minimum

The arrow is pointing at the vertex. The y value is equivalent to the minimum/maximum

(2, 4)

(3, -1)

(0, 8)

(4, 2)

(0, - 1)

(0, 0.5)

(-1, 0)

(0.5, 0)

maximum

minimum

neither

both

max/ opens down

min/ opens up

max/ opens up

min/ opens down

x= 0 and x= -4

x= 0 and x= 4

y= 0

x= 2

y = 4

y = -4

x = 4

x = -4

x = - 4

x = - 2

x = 0

x = 4

All real numbers.

x ≥ 4

x < 2

x ≤ 4

All real numbers.

y ≥ 4

y < 4

y ≤ 4

x > -2

x ≥ -2

y ≥ -2

y > -2