Answer the questions below about the quadratic function.

label Algebra
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g(x)= -3x^2 - 18x - 25

a.) Does the funtion have a maximum or minimum value?

b.) Where does the minimum or maximum value occur?

c.) What is the functions minimum or maximum value? 

Oct 8th, 2015

Thank you for the opportunity to help you with your question!

a) the function has a maximum value.

b) we first find the derivative of f(x) which is f'(x)= -6x-18 and equate to zero.

-6x-18=0

-6x=18, divide both sides by -6.

x=18/-6

x=-3 which is the value of x for which the maximum value occur.

c) f(-3) will give the function's maximum value.

f(-3)= -3(-3)^2 - 18(-3) - 25

f(-3)= -27 - -54-25

f(-3)= 2

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 8th, 2015

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