Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

What are the coordinates of the vertex for f(x) = x2 + 4x + 10?
(2, 2)
(2,6)
(-2, 2)
(-2, 6)

Sagot :

sqdancefan

9514 1404 393

Answer:

  (d)  (-2, 6)

Step-by-step explanation:

We can rewrite the function using vertex form.

  f(x) = (x^2 +4x) +10

  f(x) = (x^2 +4x +4) +10 -4 . . . . . . . add and subtract (4/2)^2

  f(x) = (x +2)^2 +6

Compare to vertex form:

  f(x) = (x -h)^2 +k

we see that (h, k) = (-2, 6) . . . . the vertex

_____

Additional comment

The value added and subtracted is the square of half the x-coefficient. Inside parentheses, that value "completes the square". Outside parentheses, that value ensures the overall function remains unchanged.

View image sqdancefan
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.