Find the standard form of the equation of the parabola with a focus at (5, 0) and a directrix at x = -5. (5 points) y = 1 divided by 20 x2 20y = x2 x = 1 divided by 20 y2 y2 = 20x

ANSWER

EXPLANATION

We want to find the equation of the parabola with a focus at (5, 0)

and a directrix at x = -5.

The distance from the focus to the vertex is the same as the distance from the vertex to the directrix.

This implies that the parabola has its vertex at the origin. This distance is

This parabola has equation of the form

We plug in p= 5 to get

Or

the answer would be 1250+200x is less than or equal to 3000. The max you can spend is 3000 so it has to be less than that. 1250 is set, but you do not know how many days he will stay so that will be x.