What is the vertex of the graph of the function below?

y = x2 - 8x + 12
a. (2, 0)
b. (4, -4)
c. (4, 0)
d. (2, -4)

The correct answer is B. (4, -4)

Step-by-step explanation:

The equation of the graph is given to be : y = x² - 8x + 12

Now, comparing the given equation with standard form : ax² + bx + c

⇒ a = 1 , b = -8 and c = 12

So, The x-value of the vertex = 4

Now, Putting this value of x in the given equation to find the y-value of the vertex :

⇒ y = 4² - 4 × 8 + 12

⇒ y = 16 - 32 + 12

⇒ y = -4

Hence, The vertex of the given equation is (4, -4)

Therefore, The correct answer is B. (4, -4)

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