Answer:
option C
Step-by-step explanation:
Given :-
And we need to tell which graph best matches the graph we drew. Firstly let's convert it into a quadratic equation by opening and simplifying the brackets.
[tex]:\implies[/tex] y = ( x + 2) ( x - 3)
[tex]:\implies[/tex] y = x ( x - 3)+2( x - 3)
[tex]:\implies[/tex] y = x² - 3x + 2x -6
[tex]:\implies[/tex] y = x² - x - 6
Now plot its graph. For that refer to attachment.
Things we can interpret :-
- The constant in the equation is -6. So the graph will cut y axis 6 units below the X axis . At (-6,0)
- From the given options , option C matches the above point .
Therefore the correct option is (C) .
