I llustiate and Sketch the equation of parabola ?f vertex

Q: Give the property that defines all parabolas.

A: A parabola is a plane curve and it is mirror-symmetrical and approximately it can be in the shape of…

Q: Find the equation of the parabola in general form with vertex (-1,2) and focus (-1,–2).

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Q: (x)

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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: What are the Vertex and Axis of Symmetry of the parabola in the diagram below?

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Q: 9. Sketch the parabola y =-x +8x-12, show all the intercepts, the axis symmetry and the vertex

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Q: Write the vertex form equation of the parabola: vertex: (2, 2) directerix: x = -1

A: The vertex of the parabola is h, k=2, 2. The directrix is x=-1. The vertex is in the 1st quadrant…

Q: 5. What point is the vertex of the parabola?

A: The vertex of a parabola is the point where the parabola crosses its axis of symmetry.   If the…

Q: Find an equation of the parabola with vertex (3,4) and focus (3,6)   .

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Q: Write the standard form of the equation of the parabola that has the indicated vertex and pa Vertex:…

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Q: The vertical line passing through the vertex of a parabola is called the ......... .

A: Given The vertical line passing through the vertex of a parabola is called the ......... .

Q: If the axis of symmetry of a parabola is given by x = 4, is it possible for the directrix to have…

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Q: 6. Write the equation of the parabola in vertex form that has a the following information: Vertex:…

A: The standard form of a parabola with axis of symmetry parallel to x-axis is given by y-k2=4px-h with…

Q: Use a graphing device to graph the parabola. x2 = 16y

A: Given: x2=16y

Q: What are the coordinates of the vertex and the equation of the axis of symmetry of the parabola…

A: Graph problem...

Q: Write an equation of a parabola with a vertex at the origin and a focus at (4, 0)

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Q: Find an equation for a parabola with focus (7,-2) and directrixx = = 4.

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Q: What is the directrix, focus, and the vertex of the parabola if Vertex V (3, −2) and axis parallel…

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Q: Write the standard form of the equation of a parabola with directrix of x = -10 and vertex at (-6,…

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Q: Write the equation of a parabola with vertex (0,0) and directrix y =-3

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Q: Find the equation of the parabola with directrix y = 3, axis x = 0, and latus rectum 4. (two answers…

A: The standard equation of the parabola is (y-k)=4a(x-h)2, where h and k are the coordinates of the…

Q: What is the equation of the parabola given:  vertex at (-5, 1) and focus at (-5, 0.5) ? Write the…

A: Given, Vertex at (-5, 1) Focus at (-5,0.5) We know that the vertex form of the parabola is,…

Q: What is a parabola? Describe its shape.

A: We have to define parabola and describe it shape.

Q: Find the standard equation of the parabola which satisfies the given condition. Vertex (-4, 2) focus…

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

A: Consider the below image,

Q: Find an equation for a parabola with vertex (3, – 6) and focus (3, – 1) -

A: We have to use general equation of parabola.

Q: Use a graphing device to graph the parabola. y2 = -1/3x

A: Use the parametric form of parabola. The parametric form for the parabola of the form y2=-4ax is…

Q: Which equation represents the parabola graphed on the coordinate plane below?

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with the vertex form…

Q: Define the term parabola?

A: Given: The term parabola.

Q: Find the coordinates of the points of intersection of the parabola y = x2 and y = x+3.

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

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Q: derive the standard form of equation for a hyperbola?

A: A cartesian coordinate system contains two mutually perpendicular number lines named x axis and y…

Q: Regarding the graph at the right, the parabola is:

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Q: Determine the equation of the parabola given:

A: Graph of the hyperbola is given, we have to find its equation

Q: If the focal length of a parabola is 6 units and the vertex is (3, 2), is it possible to determine…

A: Focal length of a parabola is 6 units and the vertex is (3, 2).

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 an equation of the parabola with its vertex at (x, y) - (3, 9) and focus at (x, y) (3,-2).

A: The parabola has vertex at (h,k)= (3, 9) and focus at (h,k+a)= (3, -2) Hence axis of symmetry is x=3…

Q: mark the vertex of the parabola

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Q: Write the standard form of an equation of a parabola with vertex (h, k) and horizontal axis of…

A: The standard form of the parabola, if the parabola is vertical:

Q: 3.

A: The equation of parabola in vertex form is : y = a*(x-h)2 + k where, vertex : (h, k)

Q: What point on the parabola y = 6 – x is closest to the point (6,6)?

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Q: Determine the equation of a parabola with vertex at (2,-3) and focus at (2,0). Then graph the…

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

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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 an equation of the parabola (in general form) given the following condition: Vertex (5, 2),…

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Q: Write the equation for a parabola with vertex: (-2, 4) and directrix: x= -3

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Q: 2. PARABOLA VERTEX = (2, FOCUS = (1,

A: Given vertex=2,1 and focus=1,1 We have to find the equation of the parabola. We can see that the…

Q: Write the equation of a parabola whose directrix is x 12.5 and has a focus at (5.5, – 9). -

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Q: Determine the equation of the parabola shown.

A: From the given equation of the parabola, the graph crosses the x-axis at two points which are x = -5…

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

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

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.