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What is the vertex of the function f(x) = x2 12x? (–6, –36) (–6, 0) (6, 0) (6, –36)

Sagot :

MrRoyal

The function f(x) =  x² + 12x is a quadratic function, and the vertex of the function is (-6,-36)

How to determine the vertex of the function?

The equation of the function is given as:

f(x) =  x² + 12x

Differentiate the function

f'(x) = 2x + 12

Set the function to 0

2x + 12 = 0

Add -12 to both sides

2x = -12

Divide both sides by 2

x = -6

Set x = -6 in the function f(x)

f(-6) =  (-6)² + 12(-6)

Evaluate

f(-6) =  -36

Hence, the vertex of the function is (-6,-36)

Read more about axis of symmetry at:

https://brainly.com/question/15709421

#SPJ4

Answer:

the vertex of the function is (-6,-36)

Step-by-step explanation:

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