Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Find the vertex and focus of the
parabola.
x2 + 6x – 8y + 1 = 0

Sagot :

Answer:

Step-by-step explanation:

Vertex: -3, -1

Focus: -3, 1

varshamittal029

Vertex of the parabola is (-3,-1)

Focus is (-3,1)

What is the vertex form of parabola?

  • The standard form of the parabola is given by y = ax2 + bx + c
  • The vertex form of the parabola is y-k = a(x - h)^2
  • vertex of the parabola is (h,k)
  • Focus of the parabola is (h,k+p)

Given parabola equation is x^2+6x-8y+1=0

x^2+6x = 8y-1

x^2+6x+9 = 8y-1+9

(x+3)^2 = 8y+8

(x+3)^2 = 8(y+1)

(y+1) = 1/8 (x+3)^2

Here vertex V(h,k) = (-3,-1)

Focus = (-3,1)

Hence, Vertex of the parabola is (-3,-1)

Focus of the parabola is(-3,1)

Learn more about parabola here:

https://brainly.com/question/4291574

#SPJ2

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.