Which is the graph of f(x) = (x + 3)(x – 2)? image for option 1 image for option 2 image for option 3 image for option 4

image 1

Step-by-step explanation:

Given data:

f(x) = (x+3)(x-2)

     = x^2 + x-6

As the given expression is a quadratic expression so the graph will be parabola.

Also coefficient of x^2 is 1, 1>0 hence we'll the parabola opens upwards

that reduces our options to image 1 and 2 only

now to find the x-axis points of parabola

let (x+3)(x-2)=0

    (x+3)=0 and (x-2)=0

     x= -3 and x= 2

when at y=0, x= -3 and x=2

hence the image 1 !