Consider the graph below:
which of the following equations does the graph represent?
a) y = ( x - 1 ) ( x + 3 ) ( x + 2 )
b) y = - ( x - 1 ) ( x + 3 ) ( x + 2 )
c) y = ( x + 1 ) ( x - 3 ) ( x - 2)
d) y = - ( x + 1 ) ( x - 3 ) ( x - 2 )

Option C

Step-by-step explanation:

Given is a graph of the function and we have to find the equation

The graph has x intercepts as -1,2 and 3

Hence the graph will have these terms as factors

(x+1), (x-2) and (x-3)

So function would be of the form

To find a:

Use the fact that y intercept is 6

When x=0, y=6

i.e. y =a(1)(6)

a=1

Hence funciton is

Option C is right

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