Respuesta :
Answer:
Focus of Parabola is ( 0 , 0.05 ) and it opens in upward direction.
Step-by-step explanation:
Given Equation of Parabola : [tex]x^2=\frac{1}{5}y[/tex]
We have to find focus of Parabola and direction in which it opens.
Since Given equation of parabola is quadratic in x. and positive focus so it opens in Positive direction of y-axis that is in upward direction.
Now to find focus we compare it with stand equation of parabola.
x² = 4ax
where ( 0 , a ) is focus
So, [tex]4a=\frac{1}{5}[/tex]
[tex]a=\frac{1}{20}=0.05[/tex]
Therefore, Focus of Parabola is ( 0 , 0.05 ) and it opens in upward direction.
