II. Betermine the vertex, focus, directrix and axis of symmetry of the following parabola. 4. -(y+3) = (x-1)' Vertex: Focus:. Directrix: Axis of Symmetry: 5. x = -2(y + 5)2 Vertex: Focus: Directrix: Axis of Symmetry:

Q: A parabola has no x-intercepts, vertex (1, -4), and is congruent in shape to the graph of y= 5x.…

A: To find the equation of a parabola that has a vertex at (1, -4) and is congruent in shape to the…

Q: 5. The equation of a family of parabolas with axis paralel to the y-axis is 6. The equation of the…

A:

Q: 3. The line segment between the vertices of a hyperbola is called the axis.

A: Given that,

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: 1. What is the vertex of the parabola y = (x + 6)² - 9? O(-6,9) (6,9) O (-6,-9) (6,-9)

A:

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

A:

Q: Given the focus and directrix of a parabola, identify its important characteristics. 10 8 -10 -8 -6…

A:

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

A:

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

A: Given that :

Q: _6. Write the equation of the parabola with vertex (4, –2) and focus (4, 4). A. (x – 4)² = 16(y + 2)…

A:

Q: 9. Find the vertex and focus of the parabola whose equation is 24x = -(y – 6)² + 192 O V(-8, –6),…

A:

Q: If the axis of symmetry of a parabola is given by x = 4, is it possible for the directrix to have…

A:

Q: 2. what is the general equation of a parabola that opens upward with v(-1,2)?

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

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: What are the coordinates of the vertex and the equation of the axis of symmetry of the parabola…

A: Graph problem...

Q: Determine the vertex, axis of symmetry, zeros, and y-intercept of the parabola shown below. 10 8- 7-…

A: We are given the following graph.

Q: How many points of intersection are there between the graphs of the hyperbola and ellipse? Зx2 — 4у?…

A:

Q: What is the equation of a parabola with directrix x 3/2 and focus (5/2, 4)? Oy- 5=- Oz-5 = - Oy-5 =…

A:

Q: entify the vertex, axis of symmetry, and direction of the opening of the parabola y=x^2−4x+6? A…

A: To determine the vertex, axis of symmetry, and direction of the opening of the below parabola.…

Q: Find an equation of the parabola with vertex (3, 4) and directrix y = 1.

A: Graph of parabola :

Q: focus shaded region has area 8

A: we know that equation of parabola is given by x2=-4ay where, focus is 0,-a, vertex is 0,0 and…

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: Find an equation of the parabola with vertex (−4, −2) and directrix y=−7.

A:

Q: What are the coordinates of the vertex and the equation of the axis of symmetry of the parabola…

A: We have to find the vertex

Q: 13.2y – x = 4

A:

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

A:

Q: What is an equation of the axis of symmetry of the graph of the parabola y = 2x² + 3x + 5? A y=-} O…

A:

Q: 15. 20y - 3 - 40y + 12x = 52

A:

Q: Consider the hyperbola of equation: (x – h)² (y – k)2 a2 62 whose foci are (-3, 2) and (9, 2), and…

A: First find distance between foci Then use formula

Q: 4. Label the focus, directrix, and vertex on the graphs given for the parabolas in Exercises 2 and…

A:

Q: Given the focus and directrix of a parabola, identify its important characteristics. 10 8 -10 -8 -6…

A: In this question we have given focus and the directrix of the parabola and with help of this we have…

Q: Why is distance between vertices for hyperbola equal to 2a?

A:

Q: What is the standard form of the equation of the parabola with the focus (-3, 6) and the directrix y…

A: GIVEN: focus (-3, 6) Directrix y = -2

Q: What are the vertex and the axis of symmetry of the parabola shown in the diagram below?

A: follow next step

Q: What is the Equation of a Parabola with directrix x = 3/2 and focus (5/2 , 4)

A: The given problen is solved below in detail.

Q: The parabola has focus (0,-2) and directrix y=2.

A: equation of parabola with focus ( a , b ) and y = c  is given as below : here a = 0 b = -2  c = 2

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

A:

Q: What are the vertex and the axis of symmetry of the parabola shown in the diagram below? y

A:

Q: How is the axis of symmetry related to the vertex, focus, and directrix of a parabola?

A: See the attachment below

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: 8x2 + 2y2 – 48x - y = 2y2 - 73 %3D

A:

Q: What is the standard equation of the parabola which satisfies the following properties: V(-4,2),…

A: Let's find.

Q: 2. PARABOLA VERTEX = (2, FOCUS = (1,

A: Given vertex=2,1 and focus=1,1 We have to find the equation of the parabola. We can see that the…

Q: Determine the equation for the parabola from its graph. y Focus Vertex Axis of (-1, 1) (3, 1)…

A: Given query is to find the equation of the parabola.

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: what is the graph of the equation x - y^2 - 4x^2 = 0? hyperbolic paraboloid, ellipsoid, elliptic…

A:

Q: The focus of a parabola is (-3,5) and the directrix is y = -1. Which equation represents a parabola…

A: Given: the focus of a parabola -3,5 and the directrix is y=-1 Formula: Distance between point x,y on…

Q: What are the vertex and axis of symmetry of the parabola y = x2 - 16x + 63? O A. vermex: (-8, 1);…

A: