Answered

Get comprehensive answers to your questions with the help of IDNLearn.com's community. Find in-depth and trustworthy answers to all your questions from our experienced community members.

Write an equation of a parabola that opens upward, has a vertex at the origin, and a focus at (0, 2).

Write An Equation Of A Parabola That Opens Upward Has A Vertex At The Origin And A Focus At 0 2 class=
Write An Equation Of A Parabola That Opens Upward Has A Vertex At The Origin And A Focus At 0 2 class=
Write An Equation Of A Parabola That Opens Upward Has A Vertex At The Origin And A Focus At 0 2 class=
Write An Equation Of A Parabola That Opens Upward Has A Vertex At The Origin And A Focus At 0 2 class=

Sagot :

Darlaashby85idn

Answer:

Parabola opens upwards, so it's a vertical parabola. Vertex at origin (0,0) and focus at (0,2). Standard equation of this parabola is

| (X — h)^2 = 4p(Y — k) |

Focus is at (0,2), so distance between vertex and focus, which is p is 2 units. So 4p = 8 units.

So the equation of this parabola is,

(X — 0)^2 = 8(Y — 0)

X^2 = 8Y or Y = X^2/8

Step-by-step explanation:

View image Darlaashby85
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Your search for answers ends at IDNLearn.com. Thanks for visiting, and we look forward to helping you again soon.