Find the equation of the parabola with vertex V (5,5) and directix the y-axis.

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

A: Given,        An equation for the parabola that has its vertex at the origin and has       it's…

Q: Find an equation of the parabola with vertex (-5, -5) and directrix y = -11. D=0 ?

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Q: Sketch the graph of the hyperbola 4x2 − y2 = 16.

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

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Q: Find the standard equation of the parabola with x intercepts at x = 2 and x -3, and a y-intercept at…

A: Solution is given below

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 parabola that has its vertex at the origin and has its focus at the point:…

A: If we have equation of a parabola y=a(x−h)2+k, then the vertex is at (h,k) and the focus is (h,…

Q: Find the equation for the parabola that has its focus at the (−394,−4) and has directrix at x=−25/4

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Q: Find the equation of the parabola with vertex (−3,1) and y-intercept 2(or (0,2)).

A: We have to find the equation of the parabola with vertex (−3,1) and y-intercept (0,2).

Q: Find the equation of the parabola with vertex at the origin and focus F (0, 5)

A: General equation of parabola with vertex at origin and focus on y axis is x^2= 4ay.

Q: Find an equation of the parabola that satisfies the given conditions.Vertex V(3, -5), directrix x =…

A: We know that equation of parabola is, y-k2=4px-h       ...(1) Where (h, k) is the vertex and x = h -…

Q: Find the standard equation of any parabola that has vertex V.

A: The equation is a statement that consists of equal symbol between two algebraic expressions. 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 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 an equation for the parabola with vertex (0, 0) and focus (6, 0).

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Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 3.

A: Given :          The equation of directrix of the parabola is x + 1 = 0          The length of the…

Q: Find an equation of the parabola with vertex (-1,3) and directrix y=7 .

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

A: To find the equation for the parabola that has the vertex at the origin and satisfies the given…

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: The parabola y2 =-14x has it's focus at the point (b,0) where b is?

A: The standard equation of parabola for this condition is y2=-4ax here  Focus (-a, 0)   Now, we have…

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

A: Let the focus of the parabola be (a,0)=(-6.5,0). Let the vertex of the parabola be (h,k)=(0,0) 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: Write the equation of a parabola with vertex (0,0) and directrix y =-3

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Q: Find the point on the parabola y = (x – 3)² – 5 that is closest to the point (0,0). |

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

A: Given: The parabola has its vertex at the origin and  Directrix has y - intercept 8. We have to find…

Q: Consider a parabola that intersects the x-axis at points (-1, 0) and (3, 0).

A: We need to find an equation of parabola that intersects the x-axis at (-1, 0) and (3, 0). Thus,…

Q: Graph the parabola with a focus of ( – 2, 1), a directrix of y = 7, and goes through the point (4,…

A: We have to find the equation of parabola.

Q: Find an equation of the parabola with vertex (2, 2) and directrix x = 8. 00 0=0 X Ś ?

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Q: Sketch the parabola and line on the same graph. y = 3x2 − 4  and  y = 2x + 4

A: point out zero of function and line and draw graph using these points

Q: Sketch parabola y = x2 – 10x + 16 by plotting a few points to left and right of the vertex. (Find…

A: Given parabola y=x2-10x+16                  ....(1)

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

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Q: Find the standard equation of any parabola that has vertex V.

A: V-2,0

Q: Find the equation for the parabola that has its vertex at the origin and has directrix at x=−1/28..

A: The standard form of equation of parabola with horizontal axis is given by the formula, y2=4px…

Q: Find the equation for the parabola that has its vertex at the origin and has a focus at (18.1, 0).…

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Q: Find the equation for the parabola with vertex (-3,0) and focus (0,0).

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Q: Find the point on the parabola (y = x2/2) that is closest to the point (-4,1)

A: Use distance formula to evaluate

Q: Find the equation of the parabola with directrix x + 1 = 0, axis y = 2, and latus rectum 2.

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Q: Find the point(s) of intersection of the parabolas y =x2 andy = -x2+ 8x.

A: Definition used-      Point of intersection-           For finding the point of intersection of…

Q: 3. Identify the vertex of the parabola y x2 + 4x + 3.

A: Here the parabola given is- y=x2+4x+3 comparing this with standard equation of parabola y=ax2+bx+cwe…

Q: Find the DE of parabolas with vertex and focus on the x-axis.

A: We know that equation of parabola when vertex and focus on the x-axis is, y2=4ax-h  where a and h…

Q: Obtain the X-value of vertex for the parabola defined by y = x2 +8x - 5

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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: Find the equation of the parabola with directrix y = 3, axis x = 0, and latus rectum 4

A: Given: Equation of directrix:y=3……1Equation of axis:x=0……2Length of latus rectum:4……3

Q: Find the equation of the parabola with directrix x + 2 = 0, axis y = 4, and latus rectum 4.

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Q: Find the equation for the parabola that has its vertex at the origin and has directrix at…

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Q: Find the point P on the parabola y = x2 closest to the point (57, 0). (х, у) %3D ]-«

A: Given the equation of parabolay=x2         ........(1)

Q: Find an equation for the parabola that has its vertex at the origin and has a directric at x=1/29

A: We want to find out the equation of the parabola.

Q: 3) Find the and directix f vertex, 7ocus. parabola y-x²+4x=8) the

A: The solution of the problem is given in the next step.

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 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.