Question

HURRY!!! 18 POINTS!!!

Write the equation of a parabola with vertex at (1, 1) and directrix at y = -1/2


Find all the solutions to the quadratic equation y = 2x(x – 3) = - 5.

Answer 1

1. you must use the following equation to resolve this problem, (x-h)^2 = 4p(y-k) where the verte of the parable is the point ( h, k) and it is given in the exercise
2. The directrix is ​​therefore the horizontal line that passes through the point ( o, -p) and the the distance between the vertex and the focus is called focal distance and it is equal p
3. in this exercise, p = 1 + 1/2 = 1,5
4. then substitute the values in the equation given
5. (x-1)^2 =4(3/2)(y-1) = (x-1)^2= 6(y-1)