Question

on a piece of paper graph y=(x+2)(x-3) then determine which answer choice best matches the graph you drew. Provide an explanation comments for links will be reported.

Answer 1

option C

Explanation:

Given :-

• y = (x + 2)( x -3)

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.

`:\implies` y = ( x + 2) ( x - 3)

`:\implies` y = x ( x - 3)+2( x - 3)

`:\implies` y = x² - 3x + 2x -6

`:\implies` 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) .