can anyone help me with this math problem:
which is an equation of the parabola with focus (-1/2) and directrix x=1/2?
1)x = -1/2y²
2) x=-2y²
3) y= -1/2x²
4) y= -2x²
2006-11-26 03:24:09 · 7 answers · asked by ? 2 in Science & Mathematics ➔ Mathematics
If the focus is at (-1/2,0)and the directrix is at (1/2,0), then the equation takes the for of y^2 = 2px, where p is the distance between the focus and the directrix. This distance is p=-1.
Thus the equation is simply y^2 = 2(-1) x=-2x, or y^2 =-2x
This is the same as answer #1 x= (-1/2)y^2
2006-11-26 03:46:05 · answer #1 · answered by ironduke8159 7 · 0⤊ 0⤋
ans is first one
am i right
u must give ans
cuz u can see equation of directrix which is ll to y axis this means eqation must b in y^2 form
now equation of parabola is y^2= 4ax a is given as -1/2 this means y^=4*(-1/2x)= -2x which is the required equation
2006-11-26 03:35:53 · answer #2 · answered by n nitant 3 · 0⤊ 0⤋
y=-(4)1/2x^2
y=-2x^2
x=1/2 is the directrix
2006-11-26 03:43:01 · answer #3 · answered by raj 7 · 0⤊ 0⤋
interior the equation, the vertex is (h,v), so plug interior the element (-2, -one million) and get the equation: y = a(x + 2)^2 - one million Then, plug interior the understand element on the parabola (-one million,one million) and remedy for a: one million = a(-one million + 2)^2 - one million one million = 1a - one million a = 2 Then, plug that back into the unique to get the equation of the parabola: y = 2(x + 2)^2 - one million
2016-10-13 03:40:06 · answer #4 · answered by ? 4 · 0⤊ 0⤋
The ans is no. 3
2006-11-26 04:28:40 · answer #5 · answered by mzamo n 1 · 0⤊ 0⤋
y r u askn dubious questions dt mite be a subject matter in da parliament cz da topiwalas dont have anydin more to debate abut
2006-11-26 04:02:20 · answer #6 · answered by kingshuk_nag001 1 · 0⤊ 0⤋
number one is the right answer
2006-11-26 04:03:24 · answer #7 · answered by Gardenia 6 · 0⤊ 0⤋