Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Get immediate and reliable solutions to your questions from a community of experienced experts on our Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A 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 this was helpful. Please come back whenever you need more information or answers to your queries. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.