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

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: Write the equation of the parabola with Vertex (5,1) and Directrix xr 3.

A:

Q: Find the equation , in standard form, of the parabola with the specified features.   vertex (-1,…

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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: Find an equation of the parabola with vertex (-1, 3) and directrix y = -3. ローロ

A: Topic:- parabola equation

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 equation of the parabola whose axis is parallel to the x-axis and passes through the points…

A: We will find out the required value.

Q: Find the coordinates of the vertex of the parabola y = 3x2 - 6x + 8

A: we have to find the coordinates of the vertex of the parabola y = 3x2 - 6x + 8

Q: Find the vertex of the parabola defined by the following equation: (y – 2)² = –4x – 8 - -

A: Given : y - 22 = -4x - 8

Q: Write an equation for the parabola with axis horizonal, vertex on the y-axis, and containing the…

A:

Q: Identify the graph of the equation as a parabola (with vertical or horizontal axis), circle,…

A: 9x2 - y2 = 10 - 2y

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 equation of the parabola with vertex (2, 4) and directrix x = –3

A: Given: Vertex (2,4)

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: use the method of completeing the sqaure to find the vertex of the parabola whose equation is…

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: Write an equation for the parabola shown to the right. (3, 1) (2, 0)

A: The equation of parabola in vertex form: y=a(x−h)2+k where: h is the horizontal coordinate of the…

Q: Write the vertex form of the equation of the parabola that has a vertex at (-8, -3) and passes…

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

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

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Q: Find the equation y=ax2+bx+c of the parabola that passes through the points (-2,0), (0,-14), (7,0)

A: The equation is:-

Q: Find the equation of the parabola

A:

Q: Find an equation for the hyperbola whose graph is below. Q 40

A: As we know that the center of the horizontal hyperbola is the midpoint of the vertices of the…

Q: Find the equation y = ax2 + bx + c of the parabola that passes through the points (-2,0), (0, –14),…

A: See attached file for a step by step explanation to find the equation of parabola.

Q: Write an equation of a parabola that has a vertex (3, 8), opens downward, and is congruent in shape…

A: All the parabola having same distance between focus and directrix is called to be congruent .Suppose…

Q: Find the equation of the parabola that goes through the points (-2,16), (-1,6), and (2, 12).

A:

Q: What is the vertex of the parabola given by the equation (y+ 1)2 =-8x?

A:

Q: Write the equation of a parabola that has a vertex at the point (5, -4).

A: Given, Vertex=(h,k)=(5,-4)

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

A:

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: Write the equation of the parabola in standard form

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Q: Write the equation, in vertex form, of a parabola that is shifted 4 units to the left and 8 units…

A: The graph of f (x+h) is the translation of the graph of f (x) to the left (if h>0) or right (if…

Q: Find the equation of the parabola having the origin as its vertex, the y axis as its axis, and…

A: The equations  of the parabola whose vertex is at the origin and its axis is about y axis are…

Q: Write the equation of the parabola with vertex (4, -2) and focus (4,4)

A: To find the equation of the parabola

Q: Solve for the directrix of the parabola y2 + 8x = 32

A: We have to solve for the directrix of the parabola y2 + 8x = 32.

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

A: Given :-  Vertex (4, -7) and  x - intercept is -4 . To Find the standard equation of a parabola :-…

Q: Write an equation for the parabola shown to the right.

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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 equation of the parabola in standard form. + 8y + 4x + 36 = 0.

A:

Q: Find an equation of the parabola with vertex (5, – 1) and directrix y = -4.

A:

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 is the x-coordinate of the vertex of the parabola whose equation is y=3x^2+9x -3 -2/3 -1 1/2

A: Given : y= 3x2 +9x

Q: Find the equation of a parabola, in vertex form -3 -2

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Q: Find an equation of the parabola whose graph is shown. y X (4, –2)

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

Q: Write the equation (in vertex form) of the parabola

A:

Q: Write the equation of the parabola in the form y = a(x- h) + kor x = a(y - k) +h'

A:

Q: Find the equation of the parabola whose vertex lies at (0,-2) and directrix at x=2

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Q: Find the equation of the parabola having the origin as its vertex, the y axis as its axis, and (-10,…

A: Here it is given that vertex of the parabola is (0,0) and y-axis as its axis,

Q: Find an equation of the parabola with vertex (2, – 3) and focus (2, – 5).

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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.