324. Consider the equation$$ y = 3 x ^ { 2 } $$5.What is the equation of the directrix?(A)$$ y = - \frac { 1 } { 1 2 } $$(B)$$ y = - \frac { 1 } { 4 } $$(C)$$ y = - \frac { 1 } { 3 } $$(D)$$ x = - \frac { 1 } { 4 } $$(E)$$...
The equations of bisectors of the angles between the lines|x|=|y|are View Solution A parabola touches the bisectors of the angle obtained by the lines x+2y+3=0 and 2x+y+3=0 at the points (1,1) and (0,-2) the equation of the directrix is ...
The vertex is (a,c)=(3,−5) The focus is (a,−b+c)=(3,−14)=(3,−214) The equation of the axis is x−a=0 i.e, x−3=0 The equation of the directrix is y−c=b Directrix is y+5=14 The directrix is y=−5+14 Directrix is y=−194 Length of latus ...
Find the coordinates of the vertex and focus, then find the equation of the directrix for the given equation.x= − 4x − 2y = 0Vertex :Focus :Directrix : 相关知识点: 试题来源: 解析 Vertex : (2,−2); Focus : (2,−); Directrix : y = −Vertex : (2,−2); Focus ...
The equation of the parabola is (x−h)2+(y−k)2=(ax+by+c)2a2+b2, where (h,k) is the focus of the parabola and ax+by+c=0 is the directrix. If two lines are perpendicular each other, the slopes of the lines will be m1m2=−1 ...
The coordinates of focus is (h,k+a) The equation of the directrix: y=k−a Answer and Explanation:1 Given: (x−3)2=12(y+1) The vertices of a parabola of the form: (x−h)2=4a(y−k) is (h,k) $$\begin{align} h&=3\k&... ...
It is a square root mapping. This is not a function since it is a one-to-many mapping. When will parabola open down? In classic geometry, it opens down when the directrix is above the focus.In analytical (coordinate) geometry, if the equation of the parabola isy = ax^2 + bx ...
The equidistant point of a straight line is the middle. Measure the distance from one end to the other and half it.
Since the directrix is vertical, use the equation of a parabola that opens up or down. ( ((x-h))^2=4p(y-k)) Find the vertex. ( (2,-1/2)) Find the distance from the focus to the vertex. ( p=3/2) Substitute in the known values for the variables into the equation(...
【解析】 Since the directrix is vertical, use the equation of a parabola that opens up or down. $$ ( x - h ) ^ { 2 } = 4 p ( y - k ) $$ Find the distance from the focus to the verte x. $$ p = - 5 $$ Substitute in the known values for the variabl es into ...