If a is greater than or equal to zero the equation of the parabola is of the form?

Q: Nhat is the equation of the parabola containing the points (2, 2), (4,-8), and (-2, –14)? O y = - 4x…

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

Q: A parabola has no x-intercepts, vertex (1, -4), and is congruent in shape to the graph of y= 5x.…

A: To find the equation of a parabola that has a vertex at (1, -4) and is congruent in shape to the…

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 x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: The equation of a family of parabolas with axis parallel to the y-axis is

A: We will find the equation of family of parabolas with axis parallel to the y-axis .Below find the…

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 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: 3. Write an equation for the parabola with vertex at (2, 3), opening upward, and with no vertical…

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Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Suppose you are given the x-coordinate of a point on a parabola. How can you find the matching…

A: According to Bartleby guidelines, only one question can be solved at a time. Kindly post other…

Q: 5. If graphed, which of the following parabolas would lie entirely below the x-axis? (1) y=x² +5x+10…

A: We’ll answer the first question  . Please submit a new question specifying the one you’d like…

Q: Ay 3-

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

A: Given:To Find the standard equation of a parabola that has a vertical axis and lineformula of…

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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

A: find an equation for the the parabola has its vertex at the origin and satisfies the given condition…

Q: A parabola has an equation of x²-4y-2x+8=0. Find the length of the latus rectum.

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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: 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: The general form of an parabola is 2x2 – 12x – 3y + 12 = 0. - What is the standard form of the…

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Q: The point (1,2) lies on the parabola: y 3x2 -2x+2 %3D

A: Thanks for the question :)And your upvote will be really appreciable ;) False statement (1,2) does…

Q: Find the equation of the parabola if vertex at (1,-1) the axis of symmetry is parallel to y-axis and…

A: Equation of parabola that have an axis of symmetry parallel to y-axis and the vertex at h,k is…

Q: Find an equation for the indicated half of the parabola.Right half of (x + 1)2 = y - 4

A: (x+1)2=y-4

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

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Q: The vertical line passing through the vertex of a parabola iscalled the_________

A: Solution:GivenThe vertical line passing through the vertex of a parabola is called the ...........

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

A: We have Vertex=(0,0)Directrix x=-15

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

A: find the equation of a parabola vertex=(0,0) and directrix x=-4

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: If the vertex of the parabola f (x)= x² +bx+c is at (7, -4), find b and c. (Note: a = 1).

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

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

A: Consider the provided graph,

Q: Determine the equation of the parabola given:

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

Q: Prove that if a parabola crosses the x-axis twice, the x-coordinate of the vertex of the parabola is…

A: Since, we have to prove that if parabola crosses the x-axis twice, the x-coordinate of the vertex of…

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Find the standards form of the equations of the below parabolas with the given characteristics.

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Q: Find an equation of the parabola that satisfies the given conditions.Vertex at the origin, symmetric…

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Q: If the parabola whose equation is x = ay2 + by + c has its vertex at (3,2) and a> 0, then it has…

A: The given statement is that" if a parabola whose equation is x=ay2+by+c has its vertex at 3,2 then…

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

A: Given: The focus F-2,1 and directrix x=3 of the parabola, To find: The equation of the parabola.

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 standard equation of any parabola that has vertex V.

A: Standard equation of a parabola with vertical axis. The graph of the equation y=ax-h2+k for a≠0 is a…

Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

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Q: Find the x-intercepts of the parabola given by the equation. (If an answer does not exist, enter…

A: At the points of x-intercepts, y coordinates are 0, as along x-axis y=0.

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

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Q: Match the parabola to an equation in standard form. 2+ -4 -2 4 6. Ta-1) -4- (x-1)2 = 4(y+1) (x+1)2 =…

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Q: If we have a parabola with an axis of symmetry of x = 9 and it contains the point (-3, -12), what…

A: Given taht parabola is symmetric about the line x= 9

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

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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.