Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Write the equation of the parabola in vertex form.
vertex (3,2), point (2,-4)
f(x)=

Write The Equation Of The Parabola In Vertex Form Vertex 32 Point 24 Fx class=

Sagot :

The equation of the parabola in vertex form

[tex]y=-6(x-3)^2+2[/tex]

Given :

vertex (3,2), point (2,-4)

The vertex form of parabola is [tex]y=a(x-h)^2+k[/tex]

Where (h,k) is the vertex

Given vertex is (3,2). so, h=3 and k=2

Replace it in the equation

[tex]y=a(x-3)^2+2[/tex]

Now we find out the value of 'a' using the given point (2,-4)

Point (2,-4) is (x,y)

x=-2  and y=-4

Replace it in the equation we got to find out 'a'

[tex]y=a(x-3)^2+2\\-4=a(2-3)^2+2\\-4=a(1)+2\\-4=a+2\\-4-2=a\\a=-6[/tex]

the equation of the parabola in vertex form

[tex]y=-6(x-3)^2+2[/tex]

Learn more : brainly.com/question/9030390

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.