Answer:
y = - (x + 5)(x - 1)
Explanation:
given zeros x = a , x = b then the corresponding factors are
(x - a) and (x - b)
the corresponding equation is then the product of the factors
y = a(x - a)(x - b) ← a is a multiplier
• if a > zero then minimum turning point U
• if a < zero then maximum turning point
here the zeros are x = - 5 and x = 1 , then
(x - (- 5) ) and (x - 1) , that is (x + 5) and (x - 1) are the factors
since the graph has a maximum turning point then a = - 1 , so
y = - (x + 5)(x - 1)