Question

Graph of y=(x-3)(x+4)

Answer 1

For graph refer to attachment .

Explanation:

We need to plot the graph of a given function . The given function is ,

`\rm\implies y = ( x - 3)(x+4)`

When we will simplify the RHS term we will get ,

`\rm\implies y = x( x + 4 ) -3(x + 4 )`

Simpify the brackets ,

`\rm\implies y = x^2 + 4x -3x -12`

Add like terms , we have ,

`\rm\implies \boxed{\blue{\rm y = x^2+x -12}}`

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 .