Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

The minimum of a parabola is located at (-1, -3). The point (0.1) is also on the graph. Which equation can be
solved to determine the a value in the function representing the parabola?

Sagot :

semsee45

Answer:

Equation of a parabola in vertex form:  y = a(x - h)² + k

Equation of the parabola: y = 4(x + 1)² - 3

Step-by-step explanation:

  • Equation of a parabola in vertex form:  y = a(x - h)² + k
    where (h, k) is the vertex

Substituting the given vertex (-1, -3) into the equation:

y = a(x + 1)² - 3

As the curve passes through point (0, 1), substitute x=0 and y=1 into the equation and solve for a:

1 = a(0 + 1)² - 3

⇒ 1 = a - 3

⇒ a = 4

Therefore, y = 4(x + 1)² - 3

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.