WhereDis the distance between two points,x1andy1are the coordinates of the first point, andx2andy2are the coordinates of the second point. Example: Let's say we have the parabolay=x28where the focus is at pointF(0,2)and the directrix isy=−2, we will pick a point in the parabola...
Example: This is agraphof theparabola with all its major features labeled:axis of symmetry,focus,vertex, and directrix. See also Directrices of an ellipse,directrices of a hyperbola
Solved Example on Directrix of a Conic SectionQues: Find the equation of directrix of the parabola y2 = 12x.Choices:A. y = - 3 B. x= 3 C. x = - 3 D. y = 3 E. X = 12 Correct Answer: CSolution:Step 1: y2= 12x [Write the equation of the parabola.] Step 2: 4 P =...
MAXIMUM PUBLICATION-CONIC SECTIONS-EXAMPLE Find the hyperbola satisfying the following conditions: Foci (+-3sqr... 04:32 Find the hyperbola satisfying the following conditions: Vertices (+-... 03:03 The line x-1=0 is the directrix of a parabola, y^2=kx then Find the... 02:42 The lin...
<p>To solve the problem step by step, we will analyze the given equation of the parabola and extract the required components: vertex, axis, directrix, focus, latus rectum, and tangent at the vertex.</p><p><strong>Given Equation:</strong> The equation of
quadratic equation is y = a(x – h)^2 + k, where "x" and "y" are variables and "a," "h" and k are numbers. In this form, the vertex is denoted by (h, k). The vertex of a quadratic equation is the highest or lowest point on its graph, which is known as a parabola. ...