To solve the problem of finding the vertex, focus, directrix, axis, and length of the latus rectum of the parabola given by the equation <sp
Find vertex, focus, directrix and latus rectum of the parabolay2+4x+4y−3=0. View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and...
A parabola is given by the equation y2 = -24x.find the directrix and focus of the parabolaFollow • 2 Add comment 1 Expert Answer Best Newest Oldest Arthur D. answered • 05/09/17 Tutor 5.0 (252) Mathematics Tutor With a Master's Degree In Mathematics About this tutor › ...
Answer to: Find the vertex, focus, and directrix of each parabola: y = x^2 + 2x + 2 and 2y^2 + 4y - 2x + 1 = 0 By signing up, you'll get...
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(...
Find the vertex, focus, and directrix of the parabola and sketch its graph. Use a graphing utility to verify the graph. (x+1)2−8(y+2)=0 Directrix of the Parabola: The directrix of a parabola is a line perpendicular to t...
In addition, Alg 2 will introduce the directrix and focus point on a parabola. Good luck and I hope this helps. Upvote • 0 Downvote Add comment Still looking for help? Get the right answer, fast. Ask a question for free Get a free answer to a quick problem. Most questions ...
The distance from the focus (2, 1) to the directrix x=-4 is 2-(-4)=6, so the distance from the focus to the vertex is 12(6)=3 and the vertex is (-1, 1). Since the focus is to the right of the vertex, p=3. An equation is (y-1)^2=4⋅ 3[x-(-1)], or (y-...
A parabola is defined as being a curve in which any point is equidistant from a fixed point called the focus and a fixed straight line called the directrix. Practically, a parabola looks like this: A parabola Every parabola behaves in a similar way. If it is upward opening, it will have...
-½{1}{5} Find the focus. (½{50}{2},-2) Find the axis of symmetry by finding the lin e that passes through the verter and the focu s. y=-2 Find the directrix. x=½{90}{3} Use the properties of the parabola to analyze and graph the parabola. Direction: Opens...