SOLUTION: Given the equation: (1-2X).(X+3): 1. Find the maximum or minimum value of the function. Show your work. 2. draw the above function.

Algebra ->  Graphs -> SOLUTION: Given the equation: (1-2X).(X+3): 1. Find the maximum or minimum value of the function. Show your work. 2. draw the above function.      Log On


   



Question 873177: Given the equation: (1-2X).(X+3):
1. Find the maximum or minimum value of the function. Show your work.
2. draw the above function.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Given the equation: (1-2X).(X+3):
1. Find the maximum or minimum value of the function. Show your work.
2. draw the above function.
***
(1-2x)(x+3)=x-2x^2+3-6x
-2x^2-5x+3
complete the square:
-2(x^2+(5x/2)+25/16)+25/8+3
-2(x+5/4)^2+49/8
This is an equation of a parabola that opens down with vertex at(-5/4,49/8)=(-1.25,6.125)
maximum value=6.125
see graph below:
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C-2x%5E2-5x%2B3%29+