For Exercise, identify each equation as representing a circle, an ellipse, a hyperbola, or a parabola. • If the equation represents a circle, identify the center and radius. • If the equation represents an ellipse, identify the center, vertices, endpoints of the minor axis, foci, and eccentricity. • If the equation represents a hyperbola, identify the center, vertices, foci, equations of the asymptotes, and eccentricity. If the equation represents a parabola, identify the vertex, focus, equation of the directrix, and equation of the axis of symmetry. (x – 2)²_ (y + 2)² 16

Q: Write the standard equation for the hyperbola with the following conditions: Vertices: (-2, -3) and…

A: See attached file for a step by step explanation to find the required equation of hyperbola.

Q: In the given equation as follows , classify the graph of the equation as a circle, a parabola, an…

A:

Q: For Exercise, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a…

A: a)For the given equation simplify it and compare with standard forms of conic sections to determine…

Q: Find an equation of the parabola with vertex , −1−2 and focus , −5−2 .

A: Given information:The vertex of parabola is (1,2).The focus of parabola is (5,2)

Q: . State whether the graph of the equation below is an ellipse, circle, parabola, or hyperbola, -4x…

A: The given equation is -4x2+y-10x+10=0

Q: Solve for the equation of the parabola described. Vertex at (2,4); focus at (2,-1)

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: Write the equation for a parabola with axis of symmetry: x=3, focus: (3, -1) and directrix: y=-7.

A:

Q: Give the coordinates of the center, vertices, covertices, foci, orientation, lengths of major and…

A: Given:            The equation of an ellipse a) (x - 3)236 + y + 22100 = 1b) 9x2 + 25y2 - 18x + 100y…

Q: Locate the vertex, the focus and ends of the latus rectum and find the equation of the directrix,…

A:

Q: For Exercise, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a…

A: (a)

Q: Identify each equation.If it is a parabola,give its vertex,focus,and directrix;if it is an…

A: The given equation is  4x2-y2=8x22-y28=1 which is of the form x2a2-y2b2=1 and hence it is equation…

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

A:

Q: give equations for parabolas and tell how many unitsup or down and to the right or left each…

A: We have given equation of parabola is y2=4x Graph shifted left side by 2 units, that means there is…

Q: For Exercise, identify each equation as representing a circle, an ellipse, a hyperbola, or a…

A:

Q: Classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. 25x2 – 10x –…

A:

Q: Analyze each equation. That​ is, find the​ center, vertices, and foci of each ellipse and graph it.…

A:

Q: find the standard form of the equation. characleristics of the parabola with the verlex: (2,-7)…

A:

Q: Q1) Find an equation of the following parabola and sketch it where Vertex: (3,2) and Focus:(1,2)

A: Given the vertex 3,2 and the focus 1,2 of a parabola. We need to find the equation of the parabola…

Q: For Exercise, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a…

A:

Q: Identify the equation as a circle, a parabola, an ellipse,

A: Introduction: If an equation of the conic section is ax2+by2+cx+dy+e=0. If, here a=b, then this is a…

Q: For Exercise, identify each equation as representing a circle, an ellipse, a hyperbola, or a…

A: We divide both sides by -1.So it is an equation of circle.

Q: Identify each equation.If it is a parabola,give its vertex,focus,and directrix;if it is an…

A: Given equation is : 9x2 + 4y2= 36 Dividing above equation by 36, 936x2+436y2=3636 x24+y29=1 --- 2)…

Q: The equation of the directrix of a parabola is y = 5 and its focus is at (4,-7). What is the length…

A: given:Equation of direction of a parabola  is y=5focus 4,-7To calculate: length of latus rectum

Q: Find the equation Gr the parabola with center Cor vertex) at Ca,-4) and facus at (2,0).

A:

Q: For Exercise, identify each equation as representing a circle, an ellipse, a hyperbola, or a…

A: Given equation is

Q: For Exercise, identify each equation as representing a circle, an ellipse, a hyperbola, or a…

A: Consider the provided equation,

Q: Write the equation of the parabola with the focus at (−4, 0) and the directrix is x = 4

A: Given that Focus (-4,0) and the directrix is x=4 and we find equations of parabola.   Here i…

Q: Identify each equation.If it is a parabola,give its vertex,focus,and directrix;if it is an…

A: The given equation is of ellipse,  y225+x216=1comparing with the general equation of…

Q: Graph the parabola y2 - 2x - 2y - 5 = 0. Give the location of the focus and the directrix.

A: We have to graph the parabola and we have to give the location of the focus and the directrix where…

Q: find the vertices, foci, center (if an ellipse or a hyperbola), and asymptotes (if a hyperbola). y =…

A:

Q: State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola. 4x² – 3x – 8y?…

A: x2-3x-8y2-4y=14 The x2 and y2 terms have different signs and different coefficients. So, it is a…

Q: 4x' 16х — 9у* + 20

A:

Q: For Exercise, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a…

A:

Q: For Exercise, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a…

A: The equation Ax2 +B xy + Cy2 + Dx +Ey +F = 0 represents:

Q: For Exercise, identify each equation as representing a circle, an ellipse, a hyperbola, or a…

A:

Q: For Exercise, identify each equation as representing a circle, an ellipse, a hyperbola, or a…

A: This is an equation of parabola.

Q: 2x2 + 8ху + 8у? + 12х + 24у+18 %3D 0

A: 2x2+8xy+8y2+12x+24y+18=0⇒x2+4xy+4y2+6x+12y+9=0⇒x+2y2+6(x+2y)+9=0let x+2y=tt2+6t+9=0it can rewritten…

Q: Give the characteristics below, write the standard form equation for the hyperbola and graph.…

A: Characteristics of Hyperbola : The standard form of the equation of a hyperbola with center  ( h, k…

Q: Complete the square to determine whether the equation represents an ellipse, a parabola, a…

A: x2+16=4y2+2x On simplification, we get x2+16=4y2+8x⇒x2-8x+16-4y2=0⇒x-42-4y2=0⇒x-424-y-021=0

Q: For Exercise, write the standard form of the equation of the hyperbola subject to the given…

A: To determine the standard equation of the hyperbola.

Q: Determine the a) vertex, b) focus, c) directrix, d) axis of symmetry, and e) opening of the parabola…

A:

Q: Classify the equation as a circle,an ellipse,a parabola,or a hyperbola then graph

A: 25x2+4y2=100x24+y225=1x222+y252=1Ellipse equationx2a2+y2b2=1hence given equation is an ellipse…

Q: For Exercise, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a…

A:

Q: For Exercise, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a…

A: Given equation is

Q: . Find the Vertices, Foci and the Equations of the Asymptotes of the Hyperbola whose Equation is x?…

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: For Exercise, a. Identify the equation as representing a circle, an ellipse, a hyperbola, or a…

A: