SOLUTION: i need to determined the values of the quadratic equation (-2,-1,0,1,2) 1-F(x)=1/2x^2 - 4 2-F(x)=(x+4)^2 - 1

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: i need to determined the values of the quadratic equation (-2,-1,0,1,2) 1-F(x)=1/2x^2 - 4 2-F(x)=(x+4)^2 - 1      Log On


   

Question 688315: i need to determined the values of the quadratic equation (-2,-1,0,1,2)
1-F(x)=1/2x^2 - 4
2-F(x)=(x+4)^2 - 1
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
the values of the quadratic equation (-2,-1,0,1,2)
1.
F%28x%29=%281%2F2%29x%5E2+-4.....plug in x=-2
F%28-2%29=%281%2F2%29%28-2%29%5E2+-4
F%28-2%29=%281%2F2%294+-4
F%28-2%29=%281%2Fcross%282%29%29cross%284%292+-4
F%28-2%29=2-4
F%28-2%29=-2

F%28x%29=%281%2F2%29x%5E2+-4.....plug in x=-1
F%28-1%29=%281%2F2%29%28-1%29%5E2+-4
F%28-1%29=%281%2F2%291+-4
F%28-1%29=1%2F2+-4%2A2%2F2
F%28-1%29=%281-8%29%2F2
F%28-1%29=-7%2F2
F%28-1%29=-3.5

F%28x%29=%281%2F2%29x%5E2+-4.....plug in x=0
F%280%29=%281%2F2%29%280%29%5E2+-4
F%280%29=%281%2F2%290+-4
F%280%29=-4

F%28x%29=%281%2F2%29x%5E2+-4.....plug in x=1
F%281%29=%281%2F2%29%281%29%5E2+-4
F%281%29=%281%2F2%291+-4
F%281%29=1%2F2+-4%2A2%2F2
F%281%29=%281-8%29%2F2
F%281%29=-7%2F2
F%281%29=-3.5

F%28x%29=%281%2F2%29x%5E2+-4.....plug in x=2
F%282%29=%281%2F2%29%282%29%5E2+-4
F%282%29=%281%2F2%294+-4
F%282%29=%281%2Fcross%282%29%29cross%284%292+-4
F%282%29=2-4
F%282%29=-2
so, you have these points:
(-2,-2)
(-1,-3.5)
(0,-4)
(1,-3.5)
(2,-2)



2.
given: (-2,-1,0,1,2)
F%28x%29=%28x%2B4%29%5E2+-+1........plug in x=-2
F%28-2%29=%28-2%2B4%29%5E2+-+1
F%28-2%29=%282%29%5E2+-+1
F%28-2%29=4+-+1
F%28-2%29=3


F%28x%29=%28x%2B4%29%5E2+-+1........plug in x=-1
F%28-1%29=%28-1%2B4%29%5E2+-+1
F%28-1%29=%283%29%5E2+-+1
F%28-1%29=9+-+1
F%28-1%29=8

F%28x%29=%28x%2B4%29%5E2+-+1........plug in x=0
F%280%29=%280%2B4%29%5E2+-+1
F%280%29=%284%29%5E2+-+1
F%280%29=16+-+1
F%280%29=15

F%28x%29=%28x%2B4%29%5E2+-+1........plug in x=1
F%281%29=%281%2B4%29%5E2+-+1
F%281%29=%285%29%5E2+-+1
F%281%29=25+-+1
F%281%29=24

F%28x%29=%28x%2B4%29%5E2+-+1........plug in x=2
F%282%29=%282%2B4%29%5E2+-+1
F%282%29=%286%29%5E2+-+1
F%282%29=36+-+1
F%282%29=35
the points are:
(-2,3)
(-1,8)
(0,15)
(1,24)
(2,35)