Give an example of a parabola that has a maximum at the point (-1, 2).

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 a parabola that has a vertex of (-5, -3) and contains the point (-4, -5).…

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Q: when is the vertex of a parabola the minimun point? When is it the maximum point

A: Given query is to find that when is the vertex of a parabola the minimun point? When is it the…

Q: Find an equation for parabola with vertex  (−1,3) and directrix x=−4.

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Q: Create the equation of a parabola passing through the points (-2,32), (1,5) and (3,17)

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Q: How do you find the intersections of a parabola and root function?

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Q: A parabola has vertex (2,4.8) and one x-intercept is (3,0). The other x-intercept is (?,0)

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Q: Which point on the graph of the parabola y = 5x² has the minimum distance between the graph and the…

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Q: How would I find the maximum value of this parabola if the velocity is 23.4305?

A: Given equation - y = -16x20.43v2+1.15x+8Differentiating on both sides with respec to x - dydx =…

Q: Write an equation for the parabola graphed below. 7- -8 -7 -6 -5 -4 -3 -Þ -1 1 2 3 4 5 6 7 8 -3 -4…

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Q: 5. Write the equation of a parabola that takes a maximum value of 4 at r = -2.

A: We need to find equation of parabola.

Q: Suppose that point A(-2, -1) lies on a parabola with horizontal principal axis and whose vertex is…

A: Suppose that point A(-2, -1) lies on a parabola with horizontal principal axis and whose vertex is…

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: Describe how to find a parabola’s vertex if its equation is in the form f(x) = ax2 + bx + c. Use…

A: Concept:The connecting points in the graph is called vertex. Given:

Q: Write the equation of the parabola in vertex or intercept form. 11. 12. YA (1, 25) (4, 6) 10 -2-…

A: Let's find.

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: 13. Write the equation of the parabola with x- intercepts at ( 3,0) and (9,0) that passes through…

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Q: Write an equation for the parabola whose vertex is at (3, 6 ) and which passes through point (4, 4…

A: Given Data: The vertex of the parabola is: (h, k)=(3, 6) The coordinate of a point on the parabola…

Q: Find the equation of the parabola and put it in the form f(x)= ax^2 +bx+c  Given:  vertex: (7, -4)…

A: Explained below

Q: If a parabola has a minimum at the point (-2, 4), the parabola has... O one positive x-intercept,…

A: The vertex form of a parabola is defined by the equation, . If a parabola faces up, it has the…

Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y = 12 - x. What…

A: Given that the rectangle has its base on x- axis and its upper two vertices on parabola let us take…

Q: A point moves on the parabola y2 = 8 in such a way that the rate of change of the ordinate is always…

A: The given parabolic curve is, y2 = 8x    ...(1)   It is given that the rate of change of ordinate is…

Q: Which point on the graph of the parabola y 4x has the minimum distance between the graph and the…

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Q: What is the equation of the parabola that has a max of (2,3), and passes through point (, -1)?

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Q: Graph the parabola: f(x)=0.5x^2-2. Show all work.

A: We have given a function,

Q: Write an equation of a parabola that satisfies each set of conditions. a) opens upward, congruent…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Find the equation of a parabola that has a vertex of (-5, 8) and contains the point (-3, 12).

A: The equation of the parabola y=a(x-h)2+kwhere (h.k) is vertex .

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: The standard form of the equation of the parabola with vertex (-2, 5) and point (0, 9) is: = (x +…

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Q: Find the best parabola to fit the data points: (-1,1), (1, –1), (2,0), (3,0).

A: The given points are (-1,1),(1,-1),(2,0),(3,0).

Q: Write the equation of the parabola in vertex form. vertex (2,1), point (1, -3) f(x) =|

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Q: Find the equation of a parabola that has a vertex of (-2, -1) and contains the point (0, 3).…

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Q: Find the equation of a parabola that has a vertex of (7, -4) and contains the point (0, 94),…

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

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Q: write in standard(vertex) form the equation for the parabola which has the following properties:…

A: Given, Parabola equation has zeros at x=1 and x=7. Maximum value = 12 The standard form of the…

Q: Find the equation for the parabola that passes through the point (-2, -4), with vertex at (3,1) and…

A: Given

Q: Write an equation of the parabola, in vertex form, that is a) Narrower than y=3x2 and is translated…

A: Find your answer below

Q: Write an equation in vertex form of the parabola that has the same as the graph of(x) = 4x² or g(x)…

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Q: What is the equation of the parabola with vertex (1, –11) and that passes through (–4, 64)?

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Q: What point on the parabola y = 3- x² is closest to the point (3,3)? The point on the parabola y = 3…

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Q: Find the equation of a parabola that has a vertex of (2, -4) and contains the point (1, -7).…

A: Given  Vertex of parabola (2,-4)  And contains the points (1,-7)

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: What point on the parabola y = 5-x is closest to the point (5,5)? The point on the parabola y = 5- x…

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Q: I graphed a parabola that opened to the right and contained a maximum point.Determine whether the…

A: I graphed a parabola that opened to the right and contained a maximum point.

Q: What is the correct quadratic function for this parabola?

A: Note: General equation of parabola is y-k = 4a(x-h)^2 and x-h = 4a(y-k)^2  Vertex for both the form…

Q: Find an equation of the parabola that is symmetric about x-axis, has its vertex at the origin and…

A: Since we know that standard equation of the parabola that is symmetric about the x-axis and has…

Q: Determine the maximum area of a rectangle with one side on the -axis and the opposite corners…

A: The formula for the area of a rectangle is length multiplied by breadth. A=l·b, where l represents…

Q: Determine an equation of the parabola with the vertex at (-2, 5) and passes through the point (-3,…

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Q: Find the Equation of a Quadratic (Parabola) Given 3 Points y=a^2+bx+c (0,0), (-3,3), (3,3) Also,…

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Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.