Find the equation for the parabola that has its vertex at the origin and the focal point is 278 units to the right of the directrix.

Q: Which is the equation of a parabola with focus (0, 5) and directrix y= -5?

A:

Q: Give the standard equation of the parabola with focus (-3,0) and directrix x=3

A: Standard equation of parabola is y2=±4ax Given that focus of parabola is (-3,0) and directrix is…

Q: Find the equation of the parabola and the length of the latus rectum with directrix y = -2 and focus…

A:

Q: The focus of the parabola y^2 = 4x is at

A:

Q: Find the standard form of the equation of the parabola with the given characteristics. focus: (2, 2)…

A:

Q: What is the equation for the parabola below in terms of its focus and directrix? y = _____

A: Given: equation of the parabola

Q: Find an equation of the parabola whose graph is shown. y Directrix X = 4

A: Equation of directrix is  X=a

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: The standard equation of open downward parabola having vertex at (h, k) and focus at length “p” from…

Q: What is the standard form of the equation of the parabola with the focus (5, –1) and the directrix æ…

A: Any point at parabola is equidistant from its focus and directrix.

Q: Find an equation of the parabola with focus (7, 3) and directrix r= 1,

A:

Q: Sketch the graphs of the parabolas (a) x² = 12y (b) y² + 8x = 0 and show the focus and directrix of…

A: If we have parabola in the form of  x2 = 4ay, which is a upward parabola    Then equation of…

Q: The equation of a family of parabolas with axis parallel to the y-axis is

A: We will find the equation of family of parabolas with axis parallel to the y-axis .Below find the…

Q: Find the equation of the parabola with vertex at the origin and focus F (0, 5)

A: General equation of parabola with vertex at origin and focus on y axis is x^2= 4ay.

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A:

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: Given vertex is (0 , 0) and focus on negative y axis focal diameter is 2

Q: Find the focus and directrix of the parabola y2 = 10x.

A: given: the equation of the parabola: y2=10x

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: To find the equation for the parabola that has the vertex at the origin and satisfies the given…

Q: Find the Parabola with Focus (7,-2) and Directrix x=-9

A:

Q: Find an equation of the parabola whose graph is shown. y Directrix x = -2

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A: As per our guidelines we are supposed to answer only one question at a time. So submit the other…

Q: Find the standard form of the equation of the parabola. Vertex at the origin, focus at (0, 8)

A:

Q: Find the equation of a parabola with vertex at ( -1, 2) and focus at ( - 1, 3)

A: We have to find the equation of a parabola with vertex at ( -1, 2) focus at ( - 1, 3)   First we…

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A:

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus :…

A: To find the equation of the standard form of parabola Focus -10,0 Directrix x=10

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

A:

Q: Find an equation of the parabola (in general form) given the following condition: opens upward,…

A: Formula for equation of parabola open upwards is: (x-h)2=4a(y-k) ......(1) Where (h,k) is vertex

Q: Determine the equation of the parabola given the focus at (-10,23/2) and directrix at y=-11/2.

A: Given- Focus -10,232 and directrix y=-112 To Find- The equation of the parabola.

Q: Find the equation of the parabola in standard form with focus at (7, -6) and vertex 5 units at the…

A:

Q: Find the standard form of the equation of a parabola with focus (8,0) and directrix x = -8.

A: Focus is, a, 0=8, 0⇒a=8 Directrix is x=-8.

Q: find the equation of the parabola with the given  Focus (2, 0), directrix x = −2

A: Our Aim is to find the equation of the parabola with the given Focus (2,0) and directrix x=-2.

Q: Write the equation of the parabola with the focus at (−4, 0) and the directrix is x = 4

A: Given that Focus (-4,0) and the directrix is x=4 and we find equations of parabola.   Here i…

Q: What is the equation of the parabola with vertex at (0,0) and focus (0, –4) in standard form?…

A: see below the calculation

Q: Determine the equation of the parabola that opens to the right with focus at (4,3) and one endpoint…

A: The solution of the problem is given in the next steps.

Q: find the equation of the parabola with the given properties. Focus (2, 0), directrix x = −2

A: The formula for a parabola in vertex form is:

Q: Graph the parabola y2 - 2x - 2y - 5 = 0. Give the location of the focus and the directrix.

A: We have to graph the parabola and we have to give the location of the focus and the directrix where…

Q: Determine the equation of the parabola vertex at (-4,-8) directrix is x=0.

A:

Q: What is the equation of the parabola shown below, given the focus at F(1, 5) and the directrix x =…

A: Here we have to find the equation of the parabola, vertex, and equation of the axis of symmetry of…

Q: Find the standard form of the equation of the parabola with the given characteristics and vertex at…

A: given,      parabola with the given characteristics and vertex at the origin. Focus: (0, 1/3)

Q: Find the equation of an ellipse whose foci belong to the x-axis and passes through the points (4,3)…

A:

Q: Write the equation of a parabola whose directrix is y = 7.5 and has a focus at ( – 4, – 4.5). -

A: The equation of parabola whose directrix is y=-7.5 and has a focus at (-4,-4.5).

Q: Find the standard form of the equation of the parabola. Vertex at the origin, focus at (2, 0)

A: General equation of horizontal parabola is given by -y-k2 = 4px-h             ..........(1)where, h,…

Q: Find an equation for the parabola with focus  (3, 4)  and directrix the x-axis

A: Focus and directrix are known. Based on that we have to derive the equation of the parabola.

Q: Determine the equation of the parabola, focus (-3/2,3) and directrix at x=-37/2.

A:

Q: Find the equation of the parabola with directrix x + 2 = 0, axis y = 4, and latus rectum 4.

A:

Q: Find the standard equation of the parabola which satisfies the given conditions. Focus (-2, -5),…

A:

Q: Find the standard form of the equation of the parabola. Focus at (6, -2), directrix y = -8

A:

Q: Find the equation of a parabola whose focus is at(2,-3) and directrix's equation is x=5.

A: Distance between the point x1 , y1 and a lineax+by+C=0 is ax1+by1+Ca2+b2

Q: Find the equation for the parabola that has its focus at (-53/4, -7) and has directrix x = 5/4.

A:

Q: Find an equation of the parabola with focus (7,-2) and directrix x=-9. O=0

A: