Step-by-step explanation:
answer is in photo above
Answer:

Step-by-step explanation:
we know that
The equation of a vertical parabola into vertex form is equal to

where
(h,k) is the vertex of the parabola
if a>0 -----> the parabola open upward (vertex is a minimum)
if a<0 -----> the parabola open downward (vertex is a maximum)
<u>Verify each case</u>
case A) 
The vertex is the point 

a>0 -----> the parabola open upward (vertex is a minimum)
The range is the interval--------> [5,∞)

case B) 
The vertex is the point 

a<0 -----> the parabola open downward (vertex is a maximum)
The range is the interval--------> (-∞,5]

case C) 
The vertex is the point 

a>0 -----> the parabola open upward (vertex is a minimum)
The range is the interval--------> [4,∞)

case D) 
The vertex is the point 

a<0 -----> the parabola open downward (vertex is a maximum)
The range is the interval--------> (-∞,4]

Answer:
D) -4 (with imaginary roots ±2i)
Step-by-step explanation:
Since you cannot take the square root of a negative number to produce a real result, the only option that has two imaginary roots is D) -4, where the two imaginary roots are 2i and -2i.
Answer:
<h3>
d = 6</h3>
Step-by-step explanation:
