find the vertex , axis , focus , directrix , latus rectum of the parabola 4y

Given the parabola 4y2+3x-8y-2=0, determine the coordinates of the vertex, focus, equation of the directrix and the length of the latus rectum and hence sketch the curve

A parabola has the origin as its focus and the line x=2 as the directrix. Then the vertex of the parabola is at

The vertex is the extreme point of a parabola and is located halfway between the focus and _____.A.transverse axisB.centerC.directrixSUBMITarrow_backPREVIOUS

Find the focus and directrix of the parabola with the equation x^2 = 8y.Determine the focus and directrix of the parabola given by y^2 = -4x.Find the focus and directrix of the parabola described by the equation y^2 = 6x.Calculate the focus and directrix for the parabola represented by x^2 = -10y.Identify the focus and directrix of the parabola y^2 = 2x + 4.Determine the focus and directrix of the parabola x^2 = 16y + 32.Find the focus and directrix of the parabola y^2 = -3x - 6.Calculate the focus and directrix for the parabola described by x^2 = 12y - 24.Given the focus at F(2, 3) and the directrix y = 1, find the equation of the parabola in standard form.The focus of a parabola is at F(0, -5), and the directrix is the line y = -1. Determine the equation of the parabola in standard form.Find the focus and directrix for the parabola with its vertex at V(3, 4) and opening horizontally.A parabola has a focus at F(1, 2) and an axis of symmetry along the line x = 1. Determine the equation of the parabola in standard form.Given that the vertex of a parabola is at V(-2, 1) and its focus is at F(1, 1), calculate the equation of the parabola in standard form.Find the focus and directrix for the parabola with its vertex at V(0, -3) and opening vertically.Determine the equation of a parabola in standard form with a focus at F(4, 2) and a directrix y = -2.Given that the vertex of a parabola is at V(1, 4) and it opens upward, find the focus and directrix.Convert the equation y = 4x^2 - 8x + 5 into standard form (ax^2 + bx + c = 0), and then find the focus, directrix, and endpoints of the latus rectum.Given the equation 3x^2 + 12x - 4y + 1 = 0, find the standard form of the parabola. Afterward, determine the focus, directrix, and axis of symmetry.Find the standard form of the parabola with a focus at (3, -2) and a directrix at y = -6. Also, find the endpoints of the latus rectum.Convert the equation 2y = x^2 - 6x + 9 into standard form, and then identify the focus, directrix, and axis of symmetry.Given the equation, 4x^2 + 16x - y - 3 = 0, rewrite it in standard form and calculate the focus, directrix, and endpoints of the latus rectum.Find the standard form of the parabola with a focus at (-1, 2) and a directrix at y = -4. Determine the axis of symmetry and the endpoints of the latus rectum.These questions cover different forms and orientations of parabolas and sh

derive the equation of the parabola for which y=1 is the directrix and F(3,-2) is the focus