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Guided Practice

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

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User Branka
by
3.0k points

1 Answer

18 votes
18 votes

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

.

Tap for more steps...

x

=

2

Evaluate f

(

2

)

.

Tap for more steps...

16

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

(

2

,

16

)

image of graph

Guided Practice Type your answer and then click or tap Done. For the equation y = 3x-example-1
User Gianvito
by
3.2k points