​A quadratic function is given.

label Algebra
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A quadratic function is given.

h(x) = 1 − x − x2
(a) Express the quadratic function in standard form. 
h(x) =
(c) Find its maximum or minimum value. 
h(x) = 
 

Is this a maximum or minimum value? 
    
Mar 10th, 2015

Answer:

here we have the subsequent steps:

y = - ( x^2 +x + 1/4 - 1/4 -1)=

= - [(x+1/2)^2 -5/4]=

= -(x+1/2)^2 +5/4

so:

h(x) = - (x +1/2)^2 + 5/4

then the maximum value is:

y_max = 5/4

Mar 10th, 2015

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