Answer:
D
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a (x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = - 1(x - 4)² + 9 ← is in vertex form
with vertex = (4, 9 )
• If a > 0 then vertex is a minimum
• If a < 0 then vertex is a maximum
Here a = - 1 < 0 , thus
vertex = (4, 9 ) and is a maximum → D
