Graph Horizontal Parabolas In the following exercises, graph each equation by using its properties. 275. x = −3y2

Q: What is the length of the major axis of ellipse given by the equation X^2/81+ Y^2\144=1 ?

A: Given equation of ellipse is: x281+y2144=1

Q: Give the standard equation of the parabola with focus (-3,0) and directrix x=3

A: Standard equation of parabola is y2=±4ax Given that focus of parabola is (-3,0) and directrix is…

Q: write the equation of a parabola whose directrix is x = 3.25 and has a focus at (10.75, -8).

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Q: What are the coordinates of the focus of the parabola (y + 5) = -8(x – 4) Enter your answer by…

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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: Graph an Ellipse with Center Not at the Origin In the following exercises, ⓐ write the equation in…

A: Consider the given equation 4x2 + 9y2 − 126x + 405 = 0 Combine like terms,…

Q: Write the equation of a parabola whose directrix is y = 0.25 and has a focus at (-1, - 2.25).

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A: Given that, the hyperbola is x225-y29=1. Compare the equation x225-y29=1 in to standard form of the…

Q: Write the equation of a parabola whose directrix is 0.25 and has a focus at (– 2, 5.75). -

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

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Q: What is the y-intercept of the following parabola?

A: The question is taken from the parabola in which we have to find the y-intercept of the given…

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: Graph an Ellipse with Center Not at the Origin In the following exercises, ⓐ write the equation in…

A: Consider the given equation is, 25x2+4y2−150x−56y+321=0. From the equation it is very clear that, x2…

Q: y = 3x² + 6x – 5

A: The function is y=3x2+6x-5

Q: The loft in Casa Batlló in Barcelona, contains a series of sixty catenary arches which closely…

A: To find width and tallness of the arch in parabolic shape

Q: Find an equation of the parabola with vertex (-5, 2) and directrix y =-2. D=0 ?

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Q: Graph Vertical Parabolas In the following exercises, graph each equation by using its properties.…

A: Consider the equation is, y=2x2+10x+7 The axis of symmetry is, x=-b2a Then, x=-1022=-52

Q: Q2) Put the equation (3x2 + (y- 2)² = 3) in standard form and sketch the ellip se.

A: Given the equation of ellipse.

Q: Write the equation of a parabola whose directrix is y = - 0.75 and has a focus at (– 8, 8.75).

A: Let's find.

Q: Using the graph,determine the coordinates of the y-intercept of parabola

A: Introduction: A parabola is a conic section whose eccentricity is less than 1. A parabola is either…

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

A: Consider the given parabola y=x2+4 and the line y=2x+2. Use online graphing calculator and sketch…

Q: Write the equation of a parabola whose directrix is y = 9 and has a focus at ( – 10, – 5). |

A: Given (-10, -5) is the focus and y=-9 is the directrix of parabola. Let x0, y0 be any point on the…

Q: Find the equation of the evolute of the parabola y? = 12x.

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Q: What are the foci of the ellipse given by the equation x2+y2−4x+9x=23?

A: Given the equation is…

Q: Find the equation of the parabola whose focus is (-2,-15/4 ) and whose directrix is y = -17/4.

A: Given focus of parabola is    -2, -154 and directrix is    y=-174

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: (b) Find the evolute of the ellipse x2 y? =D1

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Q: - 7x + 12 = 0 %3D AY

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Q: What is the vertex of the parabola y = (x – 1)2 – 3? %3D

A: In this question to find the vertex of the parabola. So here we compare the given parabola with the…

Q: graph the ellipse  x2/64+y2/36=1

A: Consider the given ellipse

Q: The hyperbolic representation of a 160-meter-tall tower can be modeled by (x^2)/25 - (y^2)/225 = 1…

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Q: I llustiate and Sketch the equation of parabola ?f vertex

A: General equation of parabola is of form y2=4ax or x2=4ay

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: Write the equation of a parabola whose directrix is y = 7.5 and has a focus at ( – 4, – 4.5). -

A: The equation of parabola whose directrix is y=-7.5 and has a focus at (-4,-4.5).

Q: Determine the equation of the parabola opens upward with vertex (-12,-6) with directrix y=-17

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Q: Q2) Put the equation (3x2 + (y – 2)2 = 3) in standard form and sketch the ellipse

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Q: Graph a Hyperbola with Center at (h, k) In the following exercises, ⓐ write the equation in…

A: Consider the function: 4x2-16y2+8x+96y-204=0  To write in the form of standard hyperbola equation,…

Q: Graph Horizontal Parabolas In the following exercises, ⓐ write the equation in standard form, then…

A: x=-2y2+4yThe given equaiton is already in standard form Lets find out the vertex of the parabola…

Q: Q9: Show that in an ellipse b2 = a² (1 – e? ).

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Q: Determine the equation of the parabola, focus (-3/2,3) and directrix at x=-37/2.

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Q: Graph Vertical Parabolas In the following exercises, ⓐ write the equation in standard form, then ⓑ…

A: Standard form of parabola is given by  X2=4AY (a)

Q: What is the vertex of the parabola      y=(x-1)2-9?

A: Given the equation of parabola

Q: I must have made an error when graphing this parabola because its axis of symmetry is the…

A: I must have made an error when graphing this parabola because its axis of symmetry is the y-axis.…

Q: Write the equation of a parabola whose directrix is y = 10.75 and has a focus at (-3, 1.25).

A: Given :focus -3, 1.25

Q: Graph a Hyperbola with Center at (h, k) In the following exercises, ⓐ write the equation in…

A: a) We first use the completing square to write the hyperbola in the standard…

Q: Describe how the parabolas y = x2 + bx change as b changes from -oo to oo.

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Q: y=(x-3)^2-1 how to find vertex and plot five point two on the left and two on the right for this…

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Q: (x – 4) = –12 (y + 3) - Find the vertex, focus, and directrix of the parabola.

A: The given equation is: x-42=-12y+3                                     (1)

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.