Write the equation, in standard form, of the parabola containing the following points: (0, 1), (1, 5), (2, 3) Answer Choices: A. y = − x^2+ 5x + 3 B. y = − 7x^2+ 3x + 1 C. y = − 3x^2+ 7x + 1 D. y = 3x^2 − 7x − 1

Q: What is the turning point of the parabola whose equation is y = 2x2 + 4x- 3? А (1,3) С 2, 13) 8…

A: The turning point is the vertex.  The formula is   -b2a given equation y=2x2+4x-3compare the…

Q: Write an equation for each hyperbola.

A: From the figure of the given hyperbola, find out the vertices , co-vertices and the center of the…

Q: Create the equation of a parabola passing through the points (-2,32), (1,5) and (3,17)

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Q: determine the equation of this parabola

A: The general form of the parabola is y=ax-h2+k where h,k is the vertex of the parabola.

Q: Write the equation of the parabola given by y? + 2y + 12x – 23 = 0 in standard form. %3D -

A: Given equation of parabola is y2 + 2y + 12x - 23 = 0

Q: Write the equation of the hyperbola 9x² - 36y2 - 18x144y - 459 = 0 in standard form (x - h)² (y -…

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Q: Write an equation for the parabola graphed below. 7- -8 -7 -6 -5 -4 -3 -Þ -1 1 2 3 4 5 6 7 8 -3 -4…

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Q: Write an equation for the parabola shown to the right. 16- (0, 5) (2, 6) -12 12 -4-

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Q: Find the equation of the parabola given 3 points using quadratic formula. (33,-9) (49,23) (68,3)

A: We have to find the equation of the parabola given 3 points using the quadratic formula. The three…

Q: Write the equation of a hyperbola with center at the origin, passing though (±4,0) with no…

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Q: Find the equation of the parabola in standard form vertex at the origin passing through the point…

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Q: Write the equation of the hyperbola in standard form. 10 (-14, 2) (-6, 2) (4,2) (12, 2) 15 -10

A: Solution:GivenTo find the Equation of hyperbola in standard formFormula:(x-h)2a2+(y-k)2b2=1

Q: find the maximum area of a rectangle inscribed in an ellipse whose equation is 4x^2+25y^2=100

A: Solution: 4x^2+25y^2=100 The equation is divided by 100 4x2100+25y2100=100100x225+y24=1 or…

Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: 9x2 - y2 = 10 - 2y

Q: Write the equation of a parabola in standard form from the given information x^2 - 6x - 8y + 25 = 0

A: Standard form of parabola is either in form (y-k)2 = 4p(x-h) or (x-k)2 = 4p(y-h)

Q: What is the equation of the axis of symmetry for the parabola shown at the right? 바

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the equation of the parabola that has a horizontal axis of symmetry, passing through the points…

A: Given the points are, 0,3,(-2,1) and (6,-3)

Q: Write the equation of the hyperbola in standard form. 11x - 2y + 66x – 4y + 75 = 0

A: Given: To write the equation of a hyperbola  in standard…

Q: What are the coordinates of the turning 6) point of the parabola whose equation is y = x2 - 2x - 4?…

A: Turning point of parabola is the vertex of parabola .  General equation of parabola :  y = (x - h)2…

Q: Find the equation y=ax2+bx+c of the parabola that passes through the points (-2,0), (0,-14), (7,0)

A: The equation is:-

Q: Find the equation of the parabola that goes through the points (-2,16), (-1,6), and (2, 12).

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Q: What is the vertex of the parabola given by the equation (y+ 1)2 =-8x?

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Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: Given, 4x2 - 16x + 9y2 + 36y = -16 We have to identify the given conic equation.

Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: the given equation is: x2+6x-y2=7 we have to identify the graph of the given equation as a parabola…

Q: Identify the equation of a parabola with vertex(0,0)(0,0) and focus (0,2)

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Q: Write the equation of a parabola that has a vertex at the point (5, -4).

A: Given, Vertex=(h,k)=(5,-4)

Q: Write the equation of the hyperbola in standard form. | (-1,7) (-1,5) (-1,1) (-1,–1)

A: We can see from the graph,Vertices of hyperbola = (h, k ± b) = -1, 5 & (-1, 1)h = -1k + b = 5…

Q: Find the equation of the parabola whose axis is vertical and passes through (-1,0), (5,0) and (1,8).

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

Q: Find an equation for the hyperbola whose graph is below. 4- -8-6 -2 -4- 6.

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

Q: What is the turning point of the parabola whose equation is y= 2x2 + 4x - 3? A) (-1,-5) B) (-2,-3)…

A: y = 2x2+4x-3If the quadratic is written in the formy = a(x-h)2+k , then the vertexis the point…

Q: Write the equation, in vertex form, of a parabola that is shifted 4 units to the left and 8 units…

A: The graph of f (x+h) is the translation of the graph of f (x) to the left (if h>0) or right (if…

Q: Write the equation of the parabola in standard form, whose vertex is (-3, -4) and the graph passes…

A: Given: vertex-3,-4 and passes through point1,4 we know that equation of parabola in standard form…

Q: 10- (3,2) -10 10 (6,-7) -10

A: The vertex of the given parabola is:  (h, k) = (3, 2)

Q: Sketch the parabola and line on the same graph. y = x2 + 4 and y = 2x + 2

A: Given, y=x2+4   y=2x+2  The graph of given functions can be plotted as shown in the figure below.

Q: What is the equation of the conjugate of the hyperbola 25x² - 16y² = 400? (A) 16y²-25x² = 400 (B)…

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Q: Write the equation of the parabola that has "a" value 2 and roots -1 and 4.

A:

Q: Find the equation for the parabola that passes through the point (-2, -4), with vertex at (3,1) and…

A: Given

Q: Find an equation of the parabola with focus (-8,5) and directnx X = 4,

A: Parabola is the locus of a point, which moves so that its distance from a point called focus and a…

Q: Find the focus of a parabola passing through (-4,-6) whose vertex is at (-2,-4)(and whose axis is…

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Q: What is the x-coordinate of the vertex of the parabola whose equation is y=3x^2+9x -3 -2/3 -1 1/2

A: Given : y= 3x2 +9x

Q: -10어 -5-

A: Standard form of parabola when it is open toward positive x-axis is (y-k)2=4p(x-h) where focus is…

Q: Write the equation of the hyperbola in standard form. (-6,2) (4,2) (12,2) •(-14,2)

A: Vertices of hyperbola are, h-a, k=-6, 2  &  h+a, k=4, 2⇒h-a=-6,  h+a=4  &  k=2⇒h=-1,  a=5…

Q: Find an equation of the parabola whose graph is shown. y X (4, –2)

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

Q: What are the coordinates of the turning point of the parabola whose equation is y=x² - 2r - 4? A)…

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Q: -20 -10 -10- -10- -20- (0,-16) 10 20

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Q: Find an equation of parabola that contains the given points. (0,8),(2,18),(3,17)

A: Given 3 points (0,8), (2,18) and (3,17) of a parabola. Find the equation of that parabola.

Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: x+4=y2+y

Q: -4. -2 2. -6

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Q: Find the equation for the hyperbola whose graph is shown. y 10- F1 (-6, 0) F2 (6, 0) -10 -5 10 -5 5.

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Q: Find the equation for the hyperbola whose graph is shown. y 10- 5 F1 (-6, 0) F2 (6, 0) -10 -5 10 -5…

A: From, figure, foci are ±6,0   ⇒±ae,0=±6,0,'e' is eccentricity and…