SOLUTION: Hi- this is my problem, that I need help with. State the maxium or minimum value of each quadratic function and name the x-value at which this occurs. f(x)= -2x^2-6x+5 I don't kn

Question 109226: Hi- this is my problem, that I need help with. State the maxium or minimum value of each quadratic function and name the x-value at which this occurs.
f(x)= -2x^2-6x+5
I don't know where to start, sorry!!!
Thank you in advance for you help.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
To find the x value at the min/max, use this formula:

From the equation we can see that a=-2 and b=-6

Plug in b=-6 and a=-2

Negate -6 to get 6

Multiply 2 and -2 to get -4

Reduce

So the min/max occurs at (which is in decimal form). Lets plug this into the equation to find the min/max

Lets evaluate

Start with the given polynomial

Plug in

Raise -1.5 to the second power to get 2.25

Multiply 2 by 2.25 to get 4.5

Multiply 6 by -1.5 to get -9

Negate any negatives

Now combine like terms

So the min/max is

Notice if you graph the equation you get

and you can see that the maximum occurs at
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