1) Find the equation of the parabola with vertex at (1,-2), axis is parallel to the y-axis and passing through (-1,2). Sketch graph

Q: A searchlight is shape like a parabola of a revolution. If the light source is located 2 feet from…

A: Given that , vertex of parabola h,k=0,0 focus of parabola 0,a=0,2 Depth of light y=4 feet Width of…

Q: 2) Write the equation of the parabolas with the following characteristics (a sketch might help) a)…

A:

Q: What is the equation of the parabola with vertex at (0, 0) and directrix y = -8 in standard form?…

A: Given that, vertex of parabola is (h, k) = (0, 0) diretrix of parabola is, y = -8 We have to find…

Q: 21. What are the vertex, focus, and directrix of the parabola with equation y = x- 6x + 15?

A: Here we have to find the vertex, focus, and directrix of the parabola with the equation y=x2-6x+15

Q: Find the equation for the parabola that has its vertex at the origin and has directrix at y = 7 The…

A: To find the equation of parabola that has tis vertex at the origin and has directrix at y=-17

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 the standard form of the equation of the parabola with the given characteristics. Directrix: y…

A: Standard form of equation of parabolla is given by :x-h2=4ay-kThe distance between 0,2&8,2 is…

Q: 1 Find the equation for the parabola that has its vertex at the origin and has directrix at y = 13…

A:

Q: Determine the equation in standard form of the parabola that satisfies the given conditions…

A: Given that :

Q: 9. Write the equation of a parabola in standard form if the vertex is at (5, 0). And opens upward…

A: The parabola vertex (5,0) and focal length 10 units

Q: 15 2. Find the equation of a parabola through(-, 2) and (0,–1) whose axis is parallel 4 to the…

A:

Q: Find the standard form of the equation of the parabola with the given characteristics. vertex: (2,4)…

A:

Q: 2. Parabola with x+1= 0 as the directrix, y = 1 as the axis, and the length of the latus rectum is…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the equation of the parabola with a vertex at (2,1)  and focus at (2,3). Explain how to graph…

A: Topic:- parabola

Q: 14. Find an equation for the parabola with directrix at r= -1 and focus (5, 1).

A:

Q: Find the equation of the parabola with vertex at (2,-1), axis is parallel to the y-axis and passing…

A: Equation of parabola parallel to y axis is given by as: (x-h)²= 4a(y-k)

Q: 1. Find the general equation of the parabola with vertex at (-2,3) and focus at (-2,–2). 2. Graph…

A: 1. The given vertex at -2,3 and focus at -2,-2. Find the general equation of the parabola. 2. The…

Q: Find the standard equation of a parabola that has a vertical axis and satisfies the given…

A: Given:To Find the standard equation of a parabola that has a vertical axis and lineformula of…

Q: b) Sketch the parabola with the graph cuts the x-axis at (5,0) and (-5,0), the directrix line y = 4…

A:

Q: Find the standard form of the equation of the parabola with the given characteristics Vertex: (0, 5)…

A: Given vertex and directrix are (0, 5) and y= -3. The equation of parabola is x-h2=4py-k where (h, k)…

Q: 6. Write the equation of the parabola in vertex form that has a the following information: Vertex:…

A: The standard form of a parabola with axis of symmetry parallel to x-axis is given by y-k2=4px-h with…

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

A: find an equation for the the parabola has its vertex at the origin and satisfies the given condition…

Q: 5) Find the equation for the parabola that has its vertex at (5,-3), axis parallel to the y-axis,…

A: given,         vertex of parabola =5,-3  and passing through the point 9,5

Q: Find the equation of the parabola whose focus is at (-1,-1) and directrix is the line 2x+3y-1=0

A:

Q: Given the parabola x^2=4y, a line passes through point A (4,4) and the focus of the parabola. Find…

A: Topic:- Parabola

Q: A parabola has a directrix of y = " and a vertex located at (1, 4). %3D What are the coordinates for…

A:

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

A: Given vertex at origin and focus (0,3.7) So a=3.7 We need to find the equation

Q: 10. Find an equation for the parabola with vertex (0, 0) and focus (4, 0).

A:

Q: Find the equation for the parabola that has its vertex at the origin and has a focus at (18.1, 0).…

A:

Q: 11. A ship determines that the difference of ils distances from two stations are 80 nautical miles.…

A:

Q: Find the general form and graph of the focal width of a parabola is 14 units and its vertex can be…

A:

Q: A parabola has a focus located at (2, 1) and a directrix of y =-3. What are the coordinates for the…

A:

Q: find the equation, in standard form, of the parabola of the specified features. directrix: y = -5,…

A:

Q: Find an equation of the parabola with vertex (5, – 1) and directrix y = -4.

A:

Q: Find the standard equation of the parabola with directrix x + 1 = 0, axis at y = 1, and the length…

A: Given, The directrix of the parabola is  x+1 = 0 Axis of the parabola is  y= 1  Length of latus…

Q: What is the equation of parabola with vertex at (-2,0) and focus at the intersection point of the…

A: Given: (x+2)^2=-16y-64 and (x+2)^2=16y+64

Q: A parabola has the following properties: axis vertical, passes through (-1,0), (5,0) and (1,8). Find…

A: Topic = Parabola

Q: 10) Classify the graph of the equation as a circle, parabola, ellipse, or hyperbola: 4x2 + 25y2 +…

A:

Q: A parabola has a focus located at (5, -) and a directrix of y = What are the coordinates for the…

A:

Q: -4 Determine the standard form for the equation of a parabola with directrix x = (4,-2).

A: In this question we have to determine the standard form for the equation of a parabola.

Q: What is the equation of the parabola whose focus is at the origin ?(0,0) and whose directrix passes…

A: To sketch the parabola whose focus is the origin and directrix passes through the points (−4,0) and…

Q: A parabola has a vèrtex at the origin and a focus of (0, 3/2). What is the equation of the parabola.

A: The general equation of a parabola with vertex at origin is given by y2=4ax. The distance between…

Q: b. Find another equation of the parabola with vertex of coordinates 131 and containing the point of…

A:

Q: A parabola has a focus located at (6,) and a directrix of y= 4. %3D What are the coordinates for the…

A:

Q: 4) Find the equation of a parabola which has the focus at (2,9) and the directrix at x=10.

A:

Q: Find the general form and graph of the vertex of a parabola is at (-2, 0 with a latus rectum, that…

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: Find the equation of the parabola with directrix x+1=0 , axis y=1 and the length of the latus rectum…

A:

Q: 1 Find the equation for the parabola that has its vertex at the origin and has directrix at r %3D 24…

A: