Make a graph on f(x)=−3/2(x+1)(x−5)

explanation below

Step-by-step explanation:

f(x) = −3/2(x+1)(x−5) = -3/2 (x²-4x-5) = -3/2 (x²-4x+4-9) = -3/2 ((x-2)² - 9)

f(x) = -3/2 (x-2)² + (-3/2)*(-9) = -3/2 (x-2)² + 13.5

There are points to be referenced for the graph:

vertex (2 , 13.5)     axis of symmetry: x = 2

roots: (-1 , 0) (5 , 0)

-3/2 : curve downward