What is the equation of the parabola with a vertex at (4.8) and a directrix at y = 53

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

A:

Q: Which of the following parabolas match the following graph below? O y--r+6x O y=+6x O y=-x+6 O…

A:

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

A: If the axis of parabola is y = 1, then the parabola is horizontal. As we know that the standard…

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

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: 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: 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: Show that the center of the osculating circle for the parabola y = x2 at the point (a, a2) is…

A: We need to show that the centre of the osculating circle for the parabola y = x2 at the point (a,…

Q: Find an equation for the curve traced by the point P(x, y) if the distance from P to the vertex of…

A: First find the vertex and focus of x^2=4y

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 indicated half of the parabola.Lower half of (y + 1)2 = x + 3

A: Given equation is y+12=x+3.

Q: Find the value of Y for the hyperbola defined by the equation y² – x² = 7 at the point (3, 4). dx2

A: The equation is y2-x2=7. First find the value of dydx as follows.…

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

A: Given: Opens downward with focus 10 units away from the vertex.

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

A: Here we have to find the equation of the parabola that has its vertex at the origin  and Directrix:…

Q: A] Find the length of the arc of the semi-cubical parabola y² = x3 (1,1) and (5,5V5). between the…

A:

Q: What is the standard form of the equation of the parabola with the focus (6, –1) and the directrix x…

A:

Q: 5. The equation of a family of parabolas with axis paralel to the y-axis is

A:

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

A:

Q: Find b and c so that the parabola with equation y = 4x2 - bx - c has a vertex at (2 , 4)?

A: Using the vertex formula we find the x value of the vertex[formula: x value of vertex of Ax^2+Bx+C=0…

Q: Show that the number 4p is the width of the parabola x2 = 4py (p>0) at the focus by showing that…

A:

Q: 3. Find the equation of the parabola with focus at F(3,2) and with the line x = -4 as directrix.

A: Topic- equation of parabola from focus ans directrix.

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

A:

Q: Given y2 = 4px with p<0, the parabola opens (upward/downward/left/right).

A: Given, function

Q: Which of the following parabolas match the following graph below? O y=-x²-4x ○ y=ーズ+4 ○ y=ー+4x O…

A:

Q: what is the equation of a parabola with a vertex at (4, 8) and a directrix at y=5

A:

Q: Find an equation of the parabola in standard form: with focus at F(7,-1) and directrix 6 units from…

A:

Q: Find the shorted distance from the point A(2, to a point on the parabola y = x². And find the point…

A: Let (x,y) = (x,x2) point on the parabola is closest to A Distance between (2 , 1/2) and (x,x2) is:…

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

A: Given- The parabola that has its vertex at the origin and satisfies the given condition(s).…

Q: 1. For the parabola equation: (y-2) = -3(x+4)^2 + 7, in which direction does the parabola open? *

A: We have to find the direction in which the given parabola opens.

Q: Find the shortest distance from the point (o, 5) to the ellipse 3y? = x³.

A: We will find the the distance from the given problem.  We know      Distance (D) = sqrt {(x-x1)2…

Q: Find an equation of the hyperbola that has fodi at (-15,0) and (15, 0), and asymptotes y=x and y =

A: here we have to find the equation of hyperbola that has foci  at (-15,0) and (15,0) asymptotes…

Q: 24. Construct the equation of a parabola with focus at (-1,2) and a directrix x = -7.

A:

Q: Find the point(s) on the parabola x =y closest to the point (0,3)

A:

Q: Find the point on the parabola * +y“ that is closest to the point (0, -3). =

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 point on the parabola y 2 =2x that is closest to the  point ( 1, 4)

A: Given: y2=2x let's point on parabola is t22,t now, if point1,4 is closest to t22,t2 then product of…

Q: te an equation for the parabola with tex at (-3, 0), opening downward, . with a vertical stretch of…

A: we have to find the equation of parabola with vertex at (-3,0) opening downwards and a vertical…

Q: Find the equation for the parabola that has its focus at the (−394,−4) and has directrix at x=−254

A: Focus of the parabola is -394, -4 and directrix is x=-254. Now, Focus=-394, -4⇒h+p, k=-394,…

Q: Which of the following is the equation of a parabola with a vertex (−2,3) and directrix y=7?

A: Given, Vertex: -2,3 Directrix: y=7 To find: The equation of the parabola. Concept: The equation of…

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

A:

Q: Find the equation of Parabola and Graph with the following information: Center at (0, 0) Vertices…

A:

Q: 9.  Find the shorted distance from point A(2, 1/2) to a point on the parabola y = x2. And find the…

A:

Q: Write an equation for the hyperbola that has foci at (0, v65) and (0, - v65), and asymptotes y =…

A:

Q: What is the equation of the parabola with vertex at (0, 0) and directrix y = 3 in standard form.…

A: Given vertex 0,0 and directrix y=3. We have to find equation of parabola.

Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex…

A:

Q: Give equations for the following curves: • Parabola with vertex at the origin - 1 • Parabola with…

A: I have Provided this answer in step-2.

Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex…

A: Finding the equation of parabola

Q: Find the parabola with equation y = ax? + bx whose tangent line at (2, 8), is y = -2x + 12.

A:

Q: Which is the equation of a parabola with a directrix at y = 2 and a focus at (5, 0).

A: