Sketch the graph f(x)=(x-2)(x+3)

Question

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Answer 1

It should be evident that this is a quadratic, f(x) = x² + x -6, so its y-intercept is -6.

and obviously its zeros occur when x = 2 or =3.

 

Is this enough to get you started?  Of course you can substitute many different x values, to find the associated y values, if you choose to plot numerous points.

 

I suggest that you study this little lesson to glean enough to remember how to do similar problems, which will inevitably occur throughout your studies.