A quadratic function is given.

Algebra
Tutor: None Selected Time limit: 1 Day

f(x) = 4x2 + 24x + 8

f(x) =
(c) Find its maximum or minimum value. 
f(x) = 
 

Is this a maximum or minimum value? 
    which graph 
Mar 22nd, 2015

First, you need to find the vertex. This is where the minimum or maximum value will be found. The x value for the vertex can be found by calculating -b / 2a. In this case, it is -24 / 2(4) = -24/8, or -3. The y value can be found by plugging this value into the original equation that is -28. So, the vertex is (-3, -28) so the min or max is -28. 

If a is positive, the vertex is a minimum. If a is negative, the vertex is a maximum. Therefore, -28 is the minimum of this equation. 

Hope this helps! 

Mar 22nd, 2015

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Mar 22nd, 2015
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Mar 22nd, 2015
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