r(x)=8x^2-4x-4/2x+1 A) find the intercepts, holes (coordinates) and equations of the asymptotes.  C) sketch the other parts of the

Q: Which point on the graph of the parabola y= 4x2 has the minimum distance between the graph and the…

A: To solve this question find a function in 'x' using the distance formula equate the derivative of…

Q: "What is the families of the curve of all Parabolas with axis parallel to the x-axis

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Q: What is the horizontal asymptote for y=−5x/2x−4

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Q: Describe how to find a parabola’s vertex if its equation is in the form f(x) = ax2 + bx + c. Use…

A: Concept:The connecting points in the graph is called vertex. Given:

Q: How can I find the horizontal asymptote of the equation 2x -8(x)^1/3

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Q: 13. Write the equation of the parabola with x- intercepts at ( 3,0) and (9,0) that passes through…

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

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Q: o projectiles are shot into the air from the same location. The paths of the projectiles are…

A: Given, Two projectiles are shot into the air from the same location. The paths of the projectiles…

Q: The equations for the asymptotes of y2/196-x2=1 are

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Q: Find the equation of the parabola and put it in the form f(x)= ax^2 +bx+c  Given:  vertex: (7, -4)…

A: Explained below

Q: 18. Write the equation of a parabola with the shape as f(x)=-2x² but with the vertex (-3, 2).

A: Please refer the attached image for complete solution.

Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

A: Topic = Application of Derivative

Q: How to write the equation of the parabola with a vertex of (0,0) and axis of symmetry the y- axis;…

A: We have to write the equation of parabola with vertex (0,0) and a point in the parabola that is…

Q: A point moves on the parabola y2 = 8 in such a way that the rate of change of the ordinate is always…

A: The given parabolic curve is, y2 = 8x    ...(1)   It is given that the rate of change of ordinate is…

Q: Suppose a parabolic archway has a width of 280 cm and a height of 216 cm at its highest point above…

A: Given that, a parabolic archway has a width of 280 cm and a height of 216 cm at its highest point…

Q: Graph the transformed parabola using the table of values method with the mapping rule

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Q: Find the horizontal asymptote. 14x2 + 1 x2 - 1 y =

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Q: find the equations for the asymptotes. 9x2 - 18x - 4y2 - 24y - 63 = 0

A: Given: 9x2-18x-4y2- 24y-63=0 To find the asymptote of the given equation, We can write the given…

Q: find the horizontal asymptote of flx)= 4x+x3_a

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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: find the equations for the asymptotes. 4x2 + 24x - y2 + 4y + 28 = 0

A: Given:  4x2 + 24x - y2 + 4y + 28 = 0. To find: the equations for the asymptotes.

Q: The vertical line passing through the vertex of a parabola iscalled the_________

A: Solution:GivenThe vertical line passing through the vertex of a parabola is called the ...........

Q: What are the slopes of the asymptotes for the hyperbola whose equation is 4x2-9y? = 36? %3D

A: Here, the given equation of the hyperbola is: 4x2-9y2=36 In standard from it can be written as:…

Q: 2u²-31-2

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Q: Find an equation of the parabola with vertex (-5,-4) and directrx y =-11,

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Q: Which is the domain and range of the parabola with the equation y = 0.5(x² - 8x - 6)? OD: (-∞0,00);…

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Q: What is the equation of the quadratic function whose graph is a parabola which opens to the left,…

A: Consider the given: Vertex = 0,0Focus = −2,0End-points of the latus rectum = −2,4 and…

Q: Write an equation of the parabola, in vertex form, that is a) Narrower than y=3x2 and is translated…

A: Find your answer below

Q: Find the asymptotes of the folium of Descartes given by the equationx3+y3=3axy.

A: We have given the equation of the folium of Descartes;

Q: What is the equation of the parabola with vertex (1, –11) and that passes through (–4, 64)?

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Q: what are the intercepts and the asymptotes of 2x-4/x^2+x-2

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Q: What point on the parabola y = 3- x² is closest to the point (3,3)? The point on the parabola y = 3…

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Q: find the horizontal asymptote of flx)= 4x+x³-a ーメナ3xー4

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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: Show that,the area bounded by the parabola y^2 =4ax and a double ordinate is two third of the…

A: Let the parabola be y2=4ax Also let x =b be any double ordinate.Since the curve is symmetric about…

Q: how to divide the parabola (x4-16)/(x-2)  and x4 is x to the 4th power

A: divide the parabola (x4-16)/(x-2)  and x4 is x to the 4th power

Q: Find the equation for a cubic polynomial that could generate this graph given that it passes through…

A: We have to find the equation for a cubic polynomial that could generate this graph given that it…

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

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Q: Find the asymptotes 4x^2 - 5y^2 + 32x +30y =1

A: The given equation is 4x2-5y2+32x+30y=1

Q: 3. Determine the equation of the cubic function with zeros -1, 213 and 3, passing through (4, 5).

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Q: 6. Determine the equation of the quadratic function with vertex (5, -1) and y-intercept of 6.

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Q: 5x' - 2x² + 8 3 85. f(x)= 4x - 3x'+ 5

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Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

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Q: Find an equation of the parabola that is symmetric about x-axis, has its vertex at the origin and…

A: Since we know that standard equation of the parabola that is symmetric about the x-axis and has…

Q: what is the equation of the asymptote of y=In(2x-2)-1

A: As we know,  y=lnx has vertical asymptote x=0.   Similarly,  y=In(2x-2)-1 has vertical asymptote…

Q: I graphed a hyperbola centered at the origin that had y-intercepts but no x-ntercepts.Determine…

A: Types of hyperbolas: 1. Vertical hyperbola: Its graph contains two vertical parabolas which are…

Q: Determine an equation of the parabola with the vertex at (-2, 5) and passes through the point (-3,…

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Q: Suppose the axis of a parabola is parallel to the yy-axis and passing through the points (0,3),…

A: Given that, the axis of a parabola is parallel to the y-axis. Let the Vertex of the parabola (h, k)…

Q: A suspension bridge has two supporting towers with a cable secured at either end of the span and…

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Q: Describe the graph of the quadratic rolation y=20x + 1)(x-7) Sketch the graph and label the…

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