Find the standard form of the equation of the parabola with the given characteristics.

Q: An equation of the parabola is

A: x-h2=4py-k whereh,k is centre then focus is h, k+p  and directrix is y=k-p

Q: Find the equation of a parabola, in vertex form.

A: Equation of the parabola in vertex form is given by :y=a(x-h)2+kwhere (h,k) is vertex of the…

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: Find the standard form equation of the parabola with the given characteristics and a vertex at the…

A: Topic = parabola

Q: Find an equation for the hyperbola whose graph is below. The standard form of the equation is Ay

A: NOTE: Refresh your page if you can't see any equations. . the standard form of the left-right…

Q: Construct an equation for the following parabola.

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Q: Find the standard equation of the parabola shown in the figure.

A: Find the equation of the given graph.(x-h)2=-4a(y-k) (h,k)=(2,-4) Focus(0,a)=(0,5)…

Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex…

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Q: Find the standard equation of the parabola which satisfies the given condition. Vertex (-8, 3),…

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Q: Find an equation for the indicated half of the parabola.Left half of (x + 3)2 = y + 2

A: We have the given equation of parabola   the equation is (x + 3)2 = y + 2   we have to find the…

Q: Find an equation for the parabola that has its vertex at the origin and has its focus at the point:…

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Q: Find an equation of the parabola whose graph is shown.

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Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex…

A: Here the vertex of the parabola is at origin. Focus of the parabola is (9/2, 0). Since the focus is…

Q: Find an equation for the hyperbola whose graph is below. The standard form of the equation is

A: Answer

Q: Write the equation of a parabola whose directrix is æ 0.25 and has a focus at (1.75, 6)

A: Given, The parabola whose  Directrix is x = 0.25 Focus at 1.75, 6  We have the write the equation…

Q: Write the equation of a parabola in standard form from the given information Vertex at (2, -2)…

A: Vertex of the parabola is at 2, -2 and focus at 2, -3. Now vertex is, h, k=2, -2⇒h=2  &  k=-2…

Q: Find the equation of the directrix of the parabola y=16x.

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Q: Find an equation of the parabola with vertex , 34 and directrix =y2 .

A: It is given that the vertex of the parabola is (3,4), where h = 3 and k = 4 and the directrix is y =…

Q: Find the general equation of the parabola with vertex at the origin and focus at (-4, 0)

A: The general equation of a parabola with vertex (h,k) is (y-k)2=4a(x-h)

Q: Find the equation of the parabola whose graph is given below.

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Q: Find the standard equation of a parabola that has a vertical axis and satisfies the given…

A: Vertex of the parabola is h, k=0, 5 & it passes through the point 2, -3. Now the equation of the…

Q: Find the equation of the parabola

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Q: Find an equation for the parabola that has its vertex at the origin and has its focus at the point:…

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Q: Classify the graph of the equation 4x2 − y2 − 4x − 3 = 0 as a circle, a parabola, an ellipse, or a…

A: The general equation of the curve is, ax2+by2+cx+dy+e=0 where a, b, c, d, and e are the constants.…

Q: Find the standard equation of the parabola shown in the figure.

A: Standard equation of parabola: y=ax-h2+k        ...(1) Where (h, k) is the vertex of a parabola.

Q: Find an equation for the parabola that has its vertex at the origin and satisfies the given…

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Q: Suppose that point A(-4,0) lies on a parabola whose focus is at (5,3). What is the length of the…

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Q: Find the standard form of a parabola with the following properties: Center at the origin…

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Q: Find an equation for the parabola shown in the figure.

A: Given: A parabola with vertex at V-2, 3 and passes through the point P2, 2.

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: Write the equation of the parabola in standard form

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Q: Find the standard form of the equation of the parabola with the given characteristics and vertex at…

A: given,      parabola with the given characteristics and vertex at the origin. Focus: (0, 1/3)

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 the standard form of the equation of the parabola with the giveh Vertex: (5, 3); focus: (3, 3)

A: Vertex=(5,3) Focus=(3,3) We need to find the standard form of the equation of the parabola with the…

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: Which of the following is the equation of a parabola with a vertex (−2,3) and directrix y=7?

A: Given, Vertex: (-2,3) Directrix: y=7 To find: The equation of the parabola.

Q: Find the standard equation of the parabola shown in the figure.

A: Consider a parabola passing through the points: (-4,0); (6,0) and (4,-4). Equation of parabola with…

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

A: Given that a parabola has a vertex at (h, k) and it is vertical axis of symmetry.

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

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Q: Find the standard form of the equation of the parabola with vertex (3, −4) andfocus (6, −4).

A: Given that, the vertex of a parabola is (3, −4), and its focus is (6, −4). Since the focus (3, −4)…

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

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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: Find the standard form of the equation of the parabola with the given characteristics vertex (-4,2)…

A: Given: Vertex =-4,2 Focus =-4,0 Since the x-coordinate of vertex and focus is the same. Thus this…

Q: Find the standard form of the equation of the parabola that has a vertex at (1,-3) and passes…

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Q: Find the equation in standard form of a parabola whose focus is at (-3,-2) and whose directrix is x:…

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

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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.