Write an equation of the parabola with focus (0, −5/3) and directrix y=5/3 i know the formula is y= 1/4p x^2 but i am having trouble with the fractions being implemented. p=-5/3

Given:
The focus is at (0, -5/3)
The directrix is y = 5/3

A standard form of the equation for a parabola is
y = a(x- h)² + k
with the focus at (h , k + 1/(4a)),
and the directrix at y = k - 1/(4a)

Therefore
h = 0                          (1)
k + 1/(4a) = -5/3         (2)
k - 1/(4a) =  5/3          (3)

Add (2) and (3).
2k = 0
k = 0

Therefore the vertex is at (0,0).
From (2), obtain
1/(4a) = -5/3
4a = -3/5
a = -3/20

The equation of the parabola is
y = -(3/20)x²

The graph is shown below.

 

One shot. if 60% of 10 is 6, then what is 70%? we know it would be seven (since 60% is mathematically 60/100, or 6/10, then 70% is 70/100, or 7/10) but we can check anyway using ratios: 6 : 60% = x : 70%*inverse multiplicationx * 60% = 6 * 70%*divide both sides by 60%x = (6 * 70%) / 60%x = 7and since he has made 6 shots already, he would need just one more to get 7 shots or 70%. if the explanation is too confusing, comment and i will try to