Find an equation of the parabola (in general form) given the following condition: opens upward, focus ( -2, 4), length of latus rectum 12

Q: write the equation of a parabola whose directrix is x = 5.75 and has a focus at (12.25, 5).

A:

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

A:

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

A: Topic = parabola

Q: write the equation of a parabola whose directrix is x = 3.25 and has a focus at (10.75, -8).

A:

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Vertex: (5,…

A:

Q: Construct an equation for the following parabola.

A:

Q: Write the equation of a parabola whose directrix is y = 0.25 and has a focus at (-1, - 2.25).

A:

Q: In a parabola, the directrix has equation x = 1 and the vertex is at (3, 1). What are the…

A:

Q: What is the y-intercept of the following parabola?

A: The question is taken from the parabola in which we have to find the y-intercept of the given…

Q: given the equation of parabola y^2 -8x -4y -20=0,find the length of latus rectum

A:

Q: Write the equation of a parabola whose directrix is æ 0.25 and has a focus at (1.75, 6)

A: Given, The parabola whose  Directrix is x = 0.25 Focus at 1.75, 6  We have the write the equation…

Q: Write the equation of a parabola in standard form from the given information Vertex at (2, -2)…

A: Vertex of the parabola is at 2, -2 and focus at 2, -3. Now vertex is, h, k=2, -2⇒h=2  &  k=-2…

Q: What is the equation of the axis of symmetry for the parabola shown at the right? 바

A: NOTE: Refresh your page if you can't see any equations. .

Q: Suppose that point A(-4,0) lies on a parabola whose focus is at (5,3). What is the length of the…

A: General Equation of Parabola : y-k2=4p(x-h) --(1) Where (h,k) is the vertex of the parabola Focus is…

Q: The line perpendicular to the directrix and passing through the focus of a parabola is called the…

A: Given:

Q: Use the given information to write the equation of the parabola.

A: Since the directrix is y=3, So then the foci will be (0,-3).   Find equation of parabola on y- axis:…

Q: What is the focus of the following parabola? (y + 5)² = -12 (x - 2)

A: Given,  (y+5)2=-12(x-2)

Q: Write the equation of a parabola whose directrix is y = 9 and has a focus at ( – 10, – 5). |

A: Given (-10, -5) is the focus and y=-9 is the directrix of parabola. Let x0, y0 be any point on the…

Q: Determine the equation of the parabola using the given information. Focus (0, −3) and directix y =…

A:

Q: Find the standard equation of the parabola shown in the figure.

A: Standard equation of parabola: y=ax-h2+k        ...(1) Where (h, k) is the vertex of a parabola.

Q: 12

A: In this question, concept of parabola is applied. Parabola A parabola is a curve equation in which a…

Q: The __________ of a parabola is the point of intersection of the parabola and the axis of symmetry.

A: Consider the below image,

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

A:

Q: Determine the standard form of an equation of the parabola with focus (1, 2) and directrix x = 7.

A:

Q: Which equation represents the parabola graphed on the coordinate plane below?

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with the vertex form…

Q: Find the standard equation of the parabola which satisfies the given conditions. Vertex (−4,2),…

A: Let the vertex V (-4,2) of the given parabola is left to the focus F(-4,-1) of the parabola. The…

Q: Find an equation of the hyperbola (in general form) given the following conditions C(2, 5),…

A: Given : For a hyperbola Center C(2,5), Horizontal transverse axis of length 10 Conjugate axis of…

Q: Find the standard form of the equation of the parabola with the given characteristics.

A:

Q: Determine the equation of the parabola given:

A: Graph of the hyperbola is given, we have to find its equation

Q: I llustiate and Sketch the equation of parabola ?f vertex

A: General equation of parabola is of form y2=4ax or x2=4ay

Q: Find the standard form of the equation of the parabola with the giveh Vertex: (5, 3); focus: (3, 3)

A: Vertex=(5,3) Focus=(3,3) We need to find the standard form of the equation of the parabola with the…

Q: The Focus and the Directrix of the parabola (x – 8)² = 8(y – 3) are -

A:

Q: Find the standards form of the equations of the below parabolas with the given characteristics.

A:

Q: help in 30mins pls

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

A:

Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus : (0,…

A: Given : Direction : y = 25 Focus : ( 0 , -25 ) Vertex is exactly between Directrix and Focus

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: Consider the parabola given by the equation: 1æ? y = 2x + 8 -

A:

Q: The focus of the parabola y? + 8x = 0 has coordinates

A: Option (4) is true

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

A:

Q: Write the equation of a parabola in standard form from the given information Focus at (-5,7)…

A: Since , focus lies on x-axis Therefore , equation is either y2=4ax or y2=-4ax Now focus has negative…

Q: Find the equation of the parabola with focus (2, –1) and vertex (2, 3).

A: Given; Focus (2,-1) and vertex (2,3).

Q: .What is the equation, in standard form, if the focal width of parabola is 14 units and its vertex…

A: NOTE: Refresh your page if you can't see any equations. . the standard form of the up-down parabola…

Q: Write the standard form of an equation of a parabola with focus (1, 6) and directrix y = −2.

A: Given that focus and directrix of parabola.Find the equation of prabola in standard form.

Q: Write the equation of a parabola whose directrix is x 12.5 and has a focus at (5.5, – 9). -

A:

Q: Determine the standard form of the parabolic equation x = 1/2 (y + 5)2 − 2. Further, characterize…

A: x=12y+52-2 On simplification, we get ⇒12y+52=x+2⇒y+52=2x+2⇒y--52=2x--2 Now it is in the form of…

Q: Determine the equation of the parabola shown.

A: From the given equation of the parabola, the graph crosses the x-axis at two points which are x = -5…

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

A: