HELP ASAP 100 POINTS

f(x)=0.333*(1*x+-4)*(1*x+1)

Step-by-step explanation:

Your exercise:

Find a quadratic function with roots at 4 and -1 whose graph goes through the point -2 .

The function f(x)=a*(1*x+-4)*(1*x+1) has the desired roots.

Insert the point (1, -2) to find a.

-2=a*(1*1+-4)*(1*1+1)

-2=1*a*(1*1+-4)*(1*1+1)  (add 1 to -4)

-2=1*a*-3*(1*1+1)  (add 1 to 1)

-2=1*a*-3*2  (Multiply -3 by 2)

-2=1*-6*a  (Swap both sides of the equation.)

-6*a=-2  : (-6)

1*a=0.333  

f(x)=0.333*(1*x+-4)*(1*x+1)

step-by-step explanation:

f(gx)=f(1/x+2)

=(1/x+2)+2

=(1+2x)/2+2

=(1+2x+4)/2

= (2x+5)/2