8. Draw the parabola with the equation: 4x2 + 6x – 3y = 4.

Q: What is the equation of a parabola with vertex at (0,0), opens to the left and the length of latus…

A: Explanation: Given that,  Vertex of the parabola is (0,0) and the length of the Latus Rectum is 6…

Q: What point on the parabola y=3−x2 is closest to the point ​(3​,3​)?

A: Basic differentiation is required.

Q: Find the equation of a parabola with vertex on the line y = 2X, axis parallel to the x- axis and…

A: The equation of parabola parallel to horizontal axis is  x=(y-k)2+h --------------------(1) The line…

Q: What is the length of the latus rectum (LR) of the parabola y = -÷(x – 2)“ + 5?

A:

Q: Sketch the graph of the hyperbola 4x2 − y2 = 16.

A:

Q: .what does the axis of symmetry do to the parabola?

A:

Q: What are the coordinates for the vertex of the parabola y = 3x2 - 6x- 1? O (1,-4) O (1,4) 0(-1,4)…

A: answer is option A.)   explanation is given in below step

Q: Draw the hyperbola with the equation: 3x? – 2y² + 6x – 8y = 6.

A:

Q: Draw the hyperbola with the equation: 3x2 − 2y2 + 6x − 8y = 6.

A: 3x2-2y2+6x-8y=6⇒3x2+6x-2y2+8y=6⇒3x2+2x-2y2+4y=6⇒3x2+2x+1-2y2+4y+4=6+3-8⇒3x+12-2y+22=1⇒x+1213-y+2212=…

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

A: The general equation of the parabola opening upwards is x-h2=4py-k where (h,k) is vertex. here…

Q: What is the equation in vertex form of a parabola with a vertex of (-3, 4) that passes through the…

A:

Q: 8. Draw the parabola with the equation: 4x² + 6x – 3y = 4.

A:

Q: Draw the hyperbola with the equation: 3x2− 2y2+ 6x − 8y = 6.

A: the hyperbola

Q: Find the point on the parabola y* = 2x that is nearest the point (1, 4).

A:

Q: What is the equation of the parabola which has vertex (1,2) and y-intercept y = 1?

A: See the details solution in below

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: What is the equation of the parabola with axis parallel to the x-axis, whose vertex is at (-1,7) and…

A:

Q: Ay 3-

A:

Q: Find the equation of the axis of symmetry of the following parabola using graphing technology. Y = y…

A: To find the axis of symmetry of the parabola.  y = x2 - 32x + 48.

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: 5. Identify the focus of the parabola given by y = 8x². O (0,) O (-8,0) O (0,0) O (8)

A:

Q: Draw the parabola with the equation: 4x^2 + 6x − 3y = 4.

A:

Q: What is the equation of the directrix of the parabola having a vertex at (6,0), passing through…

A: Given:- What is the equation of the directrix of the parabola having a vertex at (6,0), passing…

Q: Find the equation of the parabola with vertex (−3,1)(−3,1) and yy-intercept 22(or (0,2)(0,2)).

A: topic - equation of a parabola

Q: Consider a parabola that intersects the x-axis at points (-1, 0) and (3, 0).

A: We need to find an equation of parabola that intersects the x-axis at (-1, 0) and (3, 0). Thus,…

Q: The __________ of a parabola is the point of intersection of the parabola and the axis of symmetry.

A: Consider the below image,

Q: what is the equation of a parabola with a vertex at (4, 8) and a directrix at y=5

A:

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

A:

Q: Sketch the parabola and line on the same graph. y = 3x2 − 4  and  y = 2x + 4

A: point out zero of function and line and draw graph using these points

Q: 10. Draw the hyperbola with the equation: 3x? – 2y² + 6x – 8y = 6.

A: The given equation of hyperbola is: 3x2-2y2+6x-8y=6 Converting it into the normal form of hyperbolic…

Q: if the point (a, b) is on the parabola y=6x^2-(5785/12) that is closest to the point (0,4) than a ?

A: Given, y=6x2-578512 suppose x,y any point closest to 0,4  D=x-02+y-42 put y in equation,…

Q: Determine the points of intersection of the parabola y=2x^2 +12x +10 and the line y=4x+2

A: I am attaching image so that you understand each and every step.

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: Describe the part of a hyperbola given by the equation.

A: The standard form of equation of hyperbola having center at (0,0) and major axis on x axis is given…

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

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Q: Find the point on the parabola y=x2 closest to (6,3

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Q: · Write an equation for the parabola with vertex at (4, –1), opening upward, and with a vertical…

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Q: Find the equation of the parabola that is symmetric about y axis with vertex at the origin and…

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Q: Express your final answer in Mdx + Ndy = 0 1. Parabola whose vertex is at point P(13, 60).

A: The given data is: 1. Parabola whose vertex is at point P (13,60), Express your final answer in…

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

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Q: Consider the parabola given by the equation: 1æ? y = 2x + 8 -

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Q: What is the equation of the standard parabola with its vertex at the origin that opens downward?

A: we have to find the equation of the standard parabola with its vertex at the origin that opens…

Q: Find the equation for the hyperbola that asymptottes (y - 3) = +- 1/square root of 2 * (x+3) and…

A:

Q: What is the perimeter of the central rectangle for the hyperbola -16x² + 9y² + 96x + 54y – 207 = 0?…

A: Given:      -16x2+9y2+96x+54y-207=0        y-k2a2-x-h2b2=1 is the standard equation for up-down…

Q: Find the directrix of the parabola.  y^2= -10x

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Q: 1) What is the turning point of the parabola whose equation is y 2x2 + 4x - 3?

A:

Q: Give the equation of a parabola with vertex at the origin

A: Given that vertex at the origin to the parabolaTo find equation…