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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 :

darlaashby85

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
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