Reduce each of the following equations to standard form then sketch the graph of each. If the equation is for a/an: CIRCLE: Identify the center and radius. PARABOLA: ldentify the direction of the opening, vertex, focus, ends of latus rectum. ELLIPSE: Identify the center and direction of major axis, vertices, foci, ends of latera recta, directrices. • HYPERBOLA: Identify the center and direction of transverse axis, vertices, foci, ends of latera recta, directrices, and asymptotes. 3. 3x2 – 2y? - 12x + 12y = 12

Q: Write the equation of a parabola in standard form from the following information: Focus (-5, 7)…

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Q: 1. Find the equation of the parabola given the following parameters and draw the graph of the…

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Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (0, ±3), vertices: (0,…

A: we need to find equation of hyperbola Given  Foci : (0,±3), vertices : (0,±1)   Since vertices are…

Q: 5. Determine the vertices, foci, and asymptotes of the hyperbola H with equation 4y – x² = 16,…

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Q: ht

A: Introduction: We know that the equation of the parabola in the vertex-focus form with coordinates…

Q: In the equation as follows , find the center, foci, vertices, and eccentricityof the hyperbola, and…

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Q: Graph the Parabola. Given: Vertex at (4, -5) and Focus at (4-1)

A: (x-h)2=4p(y-k) , Vertical parabola.Vertex - (h,k)Focus - (h,k+p)

Q: Given a focus of (2, 4) and a directrix of y= -2, find the equation for the parabola. (2-

A: Given:    focus (2 , 4)    directrix y = -2

Q: Find the standard form of the equation of each ellipse satisfying the given conditions. Foci:…

A: The equation of the ellipse with center 0,0 is of the form x2a2+y2b2=1 where the length of the major…

Q: Reduce each of the following equations to standard form then sketch the graph of each. If the…

A: Given query is to find the shape represented by the equation.

Q: Find the vertices and locate the foci for the following hyperbolas with the given equation: x2/25 -…

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Q: Find the standard form of the equation of the parabola satisfying the given conditions: Focus: (0,…

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

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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: Suppose that two people located 3 mi (15,840 ft) apart at points A and B hear a clap of thunder…

A: Given that two people located at 3mi apart at points A and B hear a clap of thunder. The time…

Q: Find the equation for the parabola that has its vertex at the origin and the focal point is 278…

A: Consider the equation of parabola vertex at origin and focus to the right of directrix. y2=4ax…

Q: Find the Parabola with Focus (7,-2) and Directrix x=-9

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Q: 1. Determine the focus and directrix of the parabola with the given equation. Sketch the graph, and…

A: Standard form of a parabola: x-h2=4py-k          ...(1) Where Focus is h, k+p Vertex is h, k…

Q: Which of the following coordinates of the vertices and foci satisfy a rectangular hyperbola where…

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Q: What is the focus of the following parabola? (y + 5)² = -12 (x - 2)

A: Given,  (y+5)2=-12(x-2)

Q: After putting the equation into one of the two forms for the parabola, find the focus and directrix…

A: We have the equation of a parabola x2+6x-12y+33=0 We have to find focus and directrix The…

Q: Determine the equation of the parabola using the given information. Focus (0, −3) and directix y =…

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Q: The following equation is already given in the standard form: (x-4)² (y + 3)² + 1 25 49 Sketch a…

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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: The towers supporting the cable of a suspension bridge are 1200 m apart and 170 m above the bridge…

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Q: 1) Find the focus, vertex, direction of the parabola and directrix of the following equations: a) y…

A: To find the Focus, vertex , direction of the parabola and directrix a) y2=4x Direction of parabola :…

Q: The parabola y = x² is shifted up by 7 units and to the left by 1 unit. What is the equation of the…

A: Equation of parabola is given as y=x2. If the parabola is shifted by a units and to the left by b…

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

A: x2=6y⇒y=16x2 By shifting left by 3 units, we get y=16x+32 Now by shifting down by 2 units, we get…

Q: Given the focus  (2,3) , vertex (2,−6), and co-vertex (−1,−1) of an ellipse, find the following:…

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

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Q: Given the following information, write the equation of the ellipse. Sketch and find the foci.…

A: Solution is given as below:

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: Sketch the graph of each of the following hyperbolas. State the centre of each and label axial…

A: Given : Hyperbolas  a. x24-y2 = 1 b. x-1216-y+224=1   To find : Graph of given hyperbola and…

Q: 1. Marsha was completing the steps for a parabola that has a focus at (5,-2) with directrix at y =…

A: Formula:-1)Distance between two points (x1,y1) & x2,y2 is d=(x1-x2)2+(y1-y2)22)Distance of a…

Q: Consider the hyperbola of equation: (y – k)2 (x - h)2 1 a? 62 whose foci are (3, -1) and (3, 17),…

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Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (0, ±13), vertices:…

A: Given that, Foci: 0, ±13 Vertices: 0, ±4 This hyperbola is the type where the line drawn to its…

Q: Reduce each of the following equations to standard form then sketch the graph of each. If the…

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

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Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (+11, 0), vertices:…

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Q: Find an equation for the parabola with focus  (3, 4)  and directrix the x-axis

A: Focus and directrix are known. Based on that we have to derive the equation of the parabola.

Q: Which of the following parabolas match the following graph below?

A: Given,            The graph of the parabola is shown below :

Q: Graph the ellipse given below by dragging the vertices and co-vertices to the correct locations.…

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Q: Write the equation of a parabola in standard form from the given information Focus at (-5,7)…

A: Since , focus lies on x-axis Therefore , equation is either y2=4ax or y2=-4ax Now focus has negative…

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

A: We can find the equation of parabola from the graph as below

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

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Q: Graph the following parabola y=x2+3 Quite five points on the parabola the vertex, two points to…

A: Please refer the attached image for complete solution.

Q: Find the vertex focus focal width and equation of the axis for each parabola. y^2+8y+4-6x+0

A: Given: y2+8y+4-6x=0 for finding given values, first we convert given equation in standard form of…