Question

Someone please help D:

I really suck at math can anyone please help. I'd appreciate it so much!
Find the focus and directrix of the graph of the equation.
Equation: y=5x^2

Thanks!

Answer 1

Equation: y=5x^2

Equation for focus:
x^2 = 4ay

so rearrange your equation ( y=5x^2) into this form (x^2 = 4ay), and the point (0,a) will be your focus

Answer 2

so if u start with your equation:
y=5x^2
y/5=x^2 - divide both sides by 5
now u have
x^2 = y/5
and we know
x^2 = 4ay
so 4a = 1/5
so a = 1/20 = 0.05

Answer 3

so your focus in this case will be at
(0, a)
which in this case is
(0, 0.05)

Answer 4

directrix... never understood it, im sorry
u could try http://www.purplemath.com/modules/parabola.htm
or we could see if @ganeshie8 has some free time?