Guided Practice

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For the equation y = 3x2 + 12x − 4, what is the minimum value?

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Respuesta :

Answer: The vertex is (−2, −16).

Use the formula  x

=

b/

2

a  to find the maximum and minimum.  (

2

,

16

)

Step-by-step explanation:  (-2, -16)    

For the equation  y

=

3

x

^2

+

12

x

4  , what is the minimum value?

The minimum of a quadratic function occurs at  x

=

b

/2

a

. If  a  is positive, the minimum value of the function is  f

(

b

/2

a

)

.

f

minx

=

a

x

^2

+

b

x

+

c  occurs at  x

=

b

/2

a

Find the value of  x

=

b

/2

a

.

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x

=

2

Evaluate  f

(

2

)

.

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16

Use the  x  and  y  values to find where the minimum occurs.

(

2

,

16

)

image of graph

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