Parabolais a quadratic equation that has a curve that opens up or down that represents a function in the form off(x)=ax2+bx+cwhere a, b, and c are constants that will shape the parabola. The major parts of the parabola are thefocus,vertex, and thedirectrix. The parabola comprises equ...
Find the vertex, focus, and directrix of the parabola x2+8x−y+18=0. Equation of Parabola A parabola is the locus of a point that is equidistant from a fixed line called the directrix, and a fixed point called the focus of the parabola. The standard form of the equation of...
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(...
Equation of directrix of parabola 5y^(2) = 4x is 00:57 The length of the latusrectum of the parbola whose focus is (3, 3) and... 03:27 If (x(1) ,y(1))" and " (x(2) , y(2)) are ends of a chord of y^(2) = ... 05:31 If P(2,8) is one end of the focal...
Find the standard form of the equation of the parabola using the information given. Focus: (14, 0); Directrix: x = -14 Equation of a Parabola: The equation of a parabola centered at the origin and opening to the right is: {eq}\displaystyle x =...
Ques: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: C Solution: Step 1: y2= 12x [Write the equation of the parabola.] Step 2: 4 P = 12, so P = 3 [Compare with y2= 4Px...
Comparing with the standard form of parabola (x−a)2=−4b(y−c) we get, 4b=1⇒b=14 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...
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 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 › ...
Julie, we can tell this parabola is going to be sideways, given that our vertex is horizontal. Since the directrix is to the left of our focus (which the latus rectum runs through), we know that it's opening to the right and p is going to be positive. ...