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

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: What are the coordinates for the vertex of the parabola y = 3x2 - 6x- 1? O (1,-4) O (1,4) 0(-1,4)…

A: answer is option A.)   explanation is given in below step

Q: Which point on the graph of the parabola y= 4x2 has the minimum distance between the graph and the…

A: To solve this question find a function in 'x' using the distance formula equate the derivative of…

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

A:

Q: Determine whether the statement, "The vertex of the parabola described by f(x) = 2(x - 5)2 - 1 is at…

A: Now consider, Therefore the given statement is false.

Q: 5. What point is the vertex of the parabola?

A: The vertex of a parabola is the point where the parabola crosses its axis of symmetry.   If the…

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: The is the lowest point of a parabola that opens up and the highest point of a parabola that opens…

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Q: Is the vertex of the parabola shown in the graph a maximum or a minimum? What are the coordinates of…

A: Given a graph with parabola drawn in the third quadrant. We need to find the co-ordinates of the…

Q: Without graphing, locate the vertex and axis of symmetry of the parabola defined by f(x)=-3x2+6x+1…

A: Given- fx=-3x2+6x+1 To locate- locate the vertex and axis of symmetry of the parabola defined by the…

Q: Use a graphing device to graph the parabola. x - 2y2 = 0

A: We have to draw the graph of parabola: x-2y2=0 Rewriting the equation, x-2y2=0x=2y2y2=12x So we have…

Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

A: We need to find length and width.

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: Which point is the vertex of the parabola y = 6(x+3)^2 - 5?

A:

Q: The vertex of a parabola is located at (−5, 6). If the parabola has a y-intercept of 231, which…

A: Given   Vertex of a parabola (x,y)=(-5,6)           Y- intercept c=231

Q: Suppose that a random parabola has a minimum vertex at (6,5) what would be the value of the axis of…

A: The axis of symmetry for a parabola is the line about which the parabola is symmetrical. The…

Q: The parabola f(x) = −2x² − 4 can be graphed = −x² downward by 4 by shifting the graph of y = units.…

A: graph

Q: Which is the equation of a parabola that has x-intercepts at (2,0) and (-6, 0)?

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Q: h f(x) = 6x² or g(x) = -6x²,

A:

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: What is the maximum area of a rectangle that is above the X- axis and below the graph of the…

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Q: how do you graph a parabola

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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: Determine the equation of the parabola whose graph is given below. 1 -7 -6 –5 –4 –3 –2 3. 5 6 7

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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: Graphically, parabolas can be viewed as the set of all points whose distance from _____ is equal to…

A: Graphically, parabolas can be viewed as the set of all points whose distance from _____ is equal to…

Q: The back of Jill's property is a creek. Jill would like to enclose a rectangular area, using the…

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Q: What is the vertex of the parabola represented by y = -2(x – 6)² + 5? O (5, 6) O (-6, 5) (6, 5) O…

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Q: Find the vertex of the parabola y=11-(x-16)^2 and determine whether it is a minimum or maximum.

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Q: A parabola has its turning point at x = -4 and one of the x-intercepts is x = -3. What is the x…

A: Given Data: The x coordinates of the turning point of the parabola is: x=-4 One of the x-intercepts…

Q: Determine whether the statement, 'I graphed a parabola that opened to the right and contained a…

A: To determine whether the statement,  'I graphed a parabola that opened to the right and contained a…

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: mark the vertex of the parabola

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Q: Give a world problem about parabola. Explain.

A: Give a world problem about parabola .

Q: A rectangle is inscribed with its base on the ?x-axis and its upper corners on the parabola y=2−x^2.…

A: Given, The equation of the parabola is y=2-x2

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: A rectangle is constructed with its base on the​ x-axis and two of its vertices on the parabola…

A: Length of the rectangle is 2xand breadth is y. The expression for the area of rectangle is given by…

Q: A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola…

A: Application of derivative problem

Q: What is the vertex of the parabola      y=(x-1)2-9?

A: Given the equation of parabola

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: maximum possible area of the corral?

A: We can solve this problem in two manner. By considering as a simple arithmetic problem and also as…

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: Suppose a parabola has an axis of symmetry atx = -2, a maximum height of 8, and passes through the…

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Q: Explain why the vertex is important when you are trying to find either the maximum y-value or the…

A: Every quadratic equation represents a 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: 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: Give an example of a parabola that has a maximum at the point (-1, 2).

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Q: Find the vertex and length of the latus rectum for the parabola. y = (x - 2)2 - 9 Vertex: (x, y) = (…

A: Topic = Parabola