Find the vertex and length of the latus rectum for the parabola. y = (x - 2)2 - 9 Vertex: (x, y) = ( Length of the latus rectum: units

Q: Write the equation of the parabola with Vertex (5,1) and Directrix xr 3.

A:

Q: Find the intersection points of the parabola above and the line -x+y=-4.

A: Given equation of parabola and the line are as below.

Q: Find an equation of the parabola with vertex (-1, 3) and directrix y = -3. ローロ

A: Topic:- parabola equation

Q: 9. Sketch the parabola y =-x +8x-12, show all the intercepts, the axis symmetry and the vertex

A:

Q: Find the vertex and directrix of the parabola. y2+14y+ 4x +45= 0…

A: Consider the equation of parabola, y2+14y+4x+45=0 To write the equation in standard form,…

Q: Find the standard equation of the parabola which satisfies the given condition. Vertex (-8, 3),…

A:

Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 3. (two…

A:

Q: A bowl is designed so that it has a vertical cross-section in the shape of a parabola. The width of…

A:

Q: Find the equation for the parabola that has its focus at The equation is: 19 (- 음.. 4 -7 and has…

A: Given: Parabola has its focus at -194,-7 and has directrix at x=354 To find equation of parabola.…

Q: Find an equation of the parabola with vertex , 34 and directrix =y2 .

A: It is given that the vertex of the parabola is (3,4), where h = 3 and k = 4 and the directrix is y =…

Q: PARABOLAS WITH VERTEX AND FOCUS ON THE Y-AXIS

A: 2. Equation of the parabola having vertex and focus on the Y-axis is y-k=a(x-0)2 ⇒y=ax2+k, where a…

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

A: First we have to calculate distance from directix to vertex. I.e P Then insert values of center and…

Q: Find the general equation of the parabola with vertex at the origin and focus at (-4, 0)

A: The general equation of a parabola with vertex (h,k) is (y-k)2=4a(x-h)

Q: Classify the graph of the equation as circle, a parabola, an ellipse, ora Show your proof. 1.)9x² +…

A:

Q: Find the equation of the parabola with directrix y = 3, axis x = 0, and latus rectum 4.

A: We have to find the equation of parabola. Given data is  Directrix: y=3 Axis: x=0 Latus rectum: 4…

Q: 2- х Find the average height of the arch above the An arch is 675 ft high and has a 560-ft base. It…

A:

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

A:

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 equation of the parabola with the given properties. Vertex (3, 4), directrix y = −2

A: The point of intersection of the parabola and its axis is called Vertex. The general form of the…

Q: Find the standard form of the equation of the parabola with the given characteristics. Vertex: (-8,…

A:

Q: A parabola has an equation of x²-4y-2x+8=0. Find the length of the latus rectum.

A:

Q: The parabola y2 =-14x has it's focus at the point (b,0) where b is?

A: The standard equation of parabola for this condition is y2=-4ax here  Focus (-a, 0)   Now, we have…

Q: find the equation of the parabola with the given properties. Vertex (0, 0), directrix y = −5

A:

Q: Find the equation of the parabola with directrix y = 3, axis x = 0, and latus rectum 4. (two answers…

A: The standard equation of the parabola is (y-k)=4a(x-h)2, where h and k are the coordinates of the…

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

A: Given: The parabola has its vertex at the origin and  Directrix has y - intercept 8. We have to find…

Q: Find the equation of the parabola with vertex V (5,5) and directix the y-axis.

A: we have to find the equation of parabola

Q: Select all of the quadrants that the parabola whose equation is x = y² + 1 occupies. I II III IV

A:

Q: Find the points of intersection between the parabolas y = 6 - x 2 and y = x 2 - 2. %3D

A:

Q: Find the axis of symmetry and vertex for the parabola y=x^2-2x+3.

A: Topic-parabola

Q: A parabola with a negative latus rectum has endpoints at (5, 1) and (5, -11) Where is the vertex? *

A:

Q: The area bounded by the parabola y2 = 4ax, its axis, and its latus rectum revolves  about the x-

A: The given equation of parabola is y2=4ax. The objective is to calculate the area bounded by the…

Q: The base of a solid is the segment of the parabola y²=12x cut off by the latus rectum. A section of…

A: The base of a solid is the segment of the parabola y²=12x cut off by the latus rectum. A section of…

Q: 20. Parabolas with vertex and focus on the x-axis.

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

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

A:

Q: Find the coordinates of the points of intersection of the parabola y = x2 and y = x+3.

A:

Q: Is and directrix of the parabola: (y-7)²-6(x+9)

A:

Q: Solve for the directrix of the parabola y2 + 8x = 32

A: We have to solve for the directrix of the parabola y2 + 8x = 32.

Q: Find the vertex, focus and endpoints of the latus rectum of the parabola  4y^2 - x + 2 y = 0

A:

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

A:

Q: A rectangle is inscribed with its base on the ?x-axis and its upper corners on the parabola y=2−x^2.…

A: Given, The equation of the parabola is y=2-x2

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A: Given y = 3x2 + 11x + 6

Q: Find the vertex and the axis of symmetry of the parabola given by the equation. y = −x2 + 8x − 18…

A: Provided equation of the parabola is given below.

Q: The directrix of the parabola x2 – 4 y = 0 is

A: According to our guidelines we are supposed to do only one question . Kindly repost the other…

Q: The revenue from selling x units of a product is given by y = -0.0002x2 + 20x. How many units must…

A: We have to find how many units must be sold in order to have the greatest revenue.

Q: Parabolas with axis parallel to the x-axis

A: Parabolas with axis parallel to the x-axis

Q: What is the AOS for this parabola? b. What is the vertex for this parabola' а. С. What is the…

A: " Since you have posted  question with multiple sub - parts, we will solve first three sub - parts…

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

A:

Q: What is the Axis of Symmetry of the parabola represented by y = - = -x² – 3x + 7? O x = 3 O x = -3 O…

A: The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent…

Q: 3) Find the and directix f vertex, 7ocus. parabola y-x²+4x=8) the

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

Q: Find the standard equation of the parabola which satisfies the given conditions. Vertex (−8,3),…

A: To find the standard equation of parabola