Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

find the equation for the parabola with vertex (1,4) that passes through the point (3,8)

Sagot :

Answer:

y=(x-1)²+4

Step-by-step explanation:

The equation for a parabola in vertex form is y=a(x-h)²+k

(h,k) represents the vertex of the parabola

The value of "a" represents the stretch or compression factor

Since the vertex is (1,4) this means (h,k)=(1,4). To find the value of a, we plug in (3,8) as (x,y) in the equation:

y=a(x-h)²+k

8=a(3-1)²+4

8=a(2)²+4

8=a(4)+4

8=4a+4

4=4a

a=1

Since a=1 the parabola doesn't compress or stretch. This means that our final equation is y=(x-1)²+4

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.