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]