Answer the questions below about the quadratic function.
f(x)= -2x^2 - 4x - 1
1.) Does the function have a minimum or maximum value?
2.) Where does the minimum or maximum value occur?
3.) What is the functions minimum or maximum value?
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The coefficient of x² is -2 (negative) so
1. the quadratic has a maximum value
2) completing the square gives f(x) = -2( x+ 1)² + 1
so 2. maximum value occurs when x + 1 = 0, that is when x = -1
3) The maximum value is f (-1) = 0 + 1 = 1 ( when we put x = -1)
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