SOLUTION: answer the question below about the quadratic function g(x) =2x^2+8x+12 1) does the function have a minium or maxium value 2) what is the funtion mininum or maxium value 3) whe

Question 728062: answer the question below about the quadratic function g(x) =2x^2+8x+12
1) does the function have a minium or maxium value
2) what is the funtion mininum or maxium value
3) where does the minimum or maxium occur
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
answer the question below about the quadratic function g(x) =2x^2+8x+12
1) does the function have a minium or maxium value
Because the leading coefficient is POSITIVE, the parabola opens downwards -- thus the function has a maximum.
.
It is easier to answer part 3) first:
3) where does the minimum or maxium occur
this is the "axis of symmetry":
x = -b/(2a)
x = -8/(2*2)
x = -8/(4)
x = -2
.
2) what is the funtion mininum or maxium value
plug -2 into the the equation to find the max:
g(x) =2x^2+8x+12
g(-2) =2(-2)^2+8(-2)+12
g(-2) =2(4)+(-16)+12
g(-2) =8-16+12
g(-2) =-8+12
g(-2) = 4
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