Answer:
For graph refer to attachment .
Step-by-step explanation:
We need to plot the graph of a given function . The given function is ,
[tex]\rm\implies y = ( x - 3)(x+4) [/tex]
When we will simplify the RHS term we will get ,
[tex]\rm\implies y = x( x + 4 ) -3(x + 4 ) [/tex]
Simpify the brackets ,
[tex]\rm\implies y = x^2 + 4x -3x -12 [/tex]
Add like terms , we have ,
[tex]\rm\implies \boxed{\blue{\rm y = x^2+x -12}} [/tex]
From the equation :-
- The graph will cut x axis at 3 and -4 as x = 3 and -4 are the roots of the equation .
- The graph will cut y axis at (0,-12)
- The vertex of the graph will be (-0.5,-12.5)
For the graph refer to attachment .
