Question 1180128
 


Create a quadratic function with x-intercepts at 

({{{6}}},{{{0}}}) =({{{x[1]}}},{{{y[1]}}})

and 

({{{-3}}},{{{0}}})=({{{x[2]}}},{{{y[2]}}})

use product of root rule

{{{y=(x-x[1])(x-x[2])}}}............substitute given values

{{{y=(x-6)(x-(-3))}}}

{{{y=(x-6)(x+3)}}}

{{{y=x^2-3x-18}}}


{{{ graph( 600, 600, -10, 10, -25, 10, x^2-3x-18) }}}