Which is the directrix of parabola with equation x^2=4y

Step-by-step explanation:

We have been given an equation of parabola . We are asked to find the directrix of our given parabola.    

First of all, we will divide both sides of our given equation by 4.

Now, we will compare our equation with vertex form of parabola:

, where, (h,k) represents vertex of parabola.

We can see that the value of a is , and .

Now, we will find distance of focus from vertex of parabola using formula .

Substituting the value of a in above formula, we will get:

We know that directrix of parabola is .

Substituting the value of k and p in above formula, we will get:

Therefore, the directrix of our given parabola is .

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

12

step-by-step explanation: