Don completes the square for the function y = x2 + 6x + 3. Which of the following functions reveals the vertex of the parabola?

A. y = (x + 3)2 – 3
B. y = (x + 3)2 – 6
C. y = (x + 2)2 – 6
D. y = (x + 2)2 – 3

Respuesta :

Answer:

B

Step-by-step explanation:

For the school work online

The function that reveals the vertex of the parabola: is y = (x + 3)² - 6.

What is the general equation of a parabola?

The general equation of a parabola is: y = a(x-h)² + k, where (h, k) indicates the vertex.

The given function is

y = x² + 6x + 3

⇒ y = (x² + 2 × x × 3 + 3²) - 6

⇒ y = (x + 3)² - 6

Therefore, the function y =  (x + 3)² - 6 indicates the vertex of the parabola.

Learn more about parabola here:

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