Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

A quadratic function f(x) = x^2 + bx +C has a vertex at (−2,1). Find the values of a, b and c. Show your work describe the strategy used.

Sagot :

mhanifa

Answer:

  • a = 1, b = 4, c = 5

Step-by-step explanation:

The x-coordinate of the vertex is determined by:

  • x = -b/(2a)

So we have:

  • -2 = -b/(2a)
  • b = 4a = 4 since a = 1 (x² has no coefficient, so its 1)

Now, substitute x- and y- values to find the value of c:

  • 1 = (-2)² + 4(-2) + c
  • 1 = 4 - 8 + c
  • 1 = -4 + c
  • c = 1 + 4
  • c = 5
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.