Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

The vertex of parabola is -3,-2, what is the equation?

Sagot :

Answer:

[tex] {y}^{2} = \frac{4}{3} x[/tex]

Step-by-step explanation:

Master equation:

[tex]y {}^{2} = 4 {ax}[/tex]

with point ( -3, -2 ):

[tex] {( - 2)}^{2} = 4a( - 3) \\ 4 = - 12a \\ a = - \frac{1}{3} [/tex]

Equation is:

[tex] {y}^{2} = \frac{4}{3} x[/tex]

Answer:

y = x² + 6x + 7

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (- 3, - 2 ) and with a = 1 , then

y = (x - (- 3) )² - 2

  = (x + 3)² - 2 ← expand using FOIL

  = x² + 6x + 9 - 2

y = x² + 6x + 7 ← equation of parabola

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.