Which is the equation of a parabola with vertex (0,0) and focus (0,2)?

The equation of the parabola is y=(1/8)x^2

Step-by-step explanation:

We know the vertex (0,0) and the focus (0,2) of the parabola.

The equation in vertex form is written as:

Then, in this case, we have the equation:

As the focus is (0,2), it is at a distance of 2 units from the vertex (0,0).

For the focus, we have the following equation:

where p is the distance from the focus to the vertex (in this case, p=2).

h and k are the vertex coordinates, both 0.

So we have:

oof cheaters cheat because they’re lazy that’s why i cheat xd

: )

step-by-step explanation:

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.