Write an equation in vertex form of the parabola that has the same shape as the graph of f(x)= 4x² or g(x) = -4x², but with the given minimum.

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: Find the vertex of the parabola which is the graph of  f(x) =3x2+5x-2 without a calculator.

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Q: Give the domain and range of the quadratic function with a minimum of -4 at x=8?

A: Consider the given information as, Function with a minimum of -4 at x=8

Q: Find the domain and range of the quadratic function whose g 3) The maximum is -5 at x = -1

A: Explanation of the answer is as follows

Q: . The Minimum point of y = x3 3x+6

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

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Q: Find the vertex of the parabola. f(x) = 2x + 16x + 39 (х, у) %3

A: We have to find vertex

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: A parabola that has the same shape as the graph of f(x) = 2x2, is f(x) = 2(x-h)2 + k with h units…

Q: Find the vertex of the graph of the quadratic function and determine whether it's an absolute…

A: Given y=x2+18x+83 Find Vertex of the graph and determine whether it's an absolute maximum or…

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: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 2x…

A: Let the standard form of parabola is y=A(x-a)2+b ⇒h(x)=A(x-a)2+b, where (a, b)is the vertex. Value…

Q: Consider the quadratic function a maximum or a minimum valuE f(x) = x - 16x + 60

A: Given

Q: f(x) = - x² -2x +1

A: This question is based on quadratic equation.

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: In the question it is asked to form a parabolic equation in which the graph should have maximum…

Q: Does the graph of the quadratic function f(x) = -9x2 + 5x + 2 have a relative minimum value at its…

A: Given problem:- Does the graph of the quadratic function f(x) = - 9x2 + 5x + 2 have a relative…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x)= 2x…

A: Since the parabola has a maximum so it must have a negative leading coefficient.  So it will be of…

Q: When the graph of a quadratic function opens downward, its leading coefficient is ________ and the…

A: To find: When the graph of a quadratic function opens downward, its leading coefficient is ________…

Q: What are the coordinates of the vertex of the parabola given the function f(x)=x^2+8x-3

A: f(x) = x² + 8x - 3 Let, y = f(x)  So, y = x² + 8x - 3   Next, we will complete the square on the…

Q: Find the relative maximum and relative minimum points of the graph y = 3x3 + 2x2 – 11x

A: We use second derivative test to find relative maximum and minimum points

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=9−x2…

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Q: Find the area of the largest rectangle with one corner at the origin, the opposite corner in the…

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 3x…

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Q: Give 3 points that lie on the parabola y=x^2-5x-2

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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,

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Q: The Minimum point of y = 8x+4 (x-2)²

A: Use a graphing utility to plot the function. Use the utility to determine the minimum point.

Q: Express y=-2x2+6x+12 in completing the square form. Hence, find the maximum/minimum values of each…

A: We will find out the required values.

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 6x…

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Q: Find the relative minimum point, maximum point, point of inflection and Sketch the graph of the…

A: Here, we need to find the relative minimum point, maximum point, point of inflection of the function…

Q: Find the domain and range of f(x)= 3x^2-12x+2 .Identify if it has a maximum or a minimum. Find…

A: We have been given a quadratic function f(x) = 3x^2-12x+2. We are supposed to find its domain and…

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: The Maximum point of y = 9-x² x²-4

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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: Write the equation of the parabola that has the same shape as f(x) = - 9x but with vertex (2,7) in…

A: Given, y=g(x)= -9x² Therefore, a=-9

Q: intercepts

A: The x-intercepts are 5 & -3, i.e. the points are P(-3,0) & Q(5,0)  So, the maximum value…

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: Discuss the maximum and minimum of x?+y'+6x+12.

A: Given: x2+y2+6x+12

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: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: Solution:- we have to write an equation in standard form of the parabola that has the same shape as…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) = 8x…

A: Here we have to write an equation in standard form of the parabola that has the same shape as the…

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

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Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: Minimum value is 0 at x=11. Since we need minimum value, therefore the parabola must be an upward…

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: The Minimum point of y = 3x+6

A: Find out the minimum point of the function.

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f(x) = 2(x -…

A: For y=a(x-h)2+k vertex (h,k)

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: Write the equation in the standard form of the parabola that has the same shape as the graph of…

A: Write the standard form of parabola and maximise at x=3.

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x) =…

A: The vertex form of the parabola, y=a(x-h)2+k, where (h,k) is the vertex  Here, (h,k)=(7,4) The given…

Q: Write an equation in standard form of the parabola that has the same shape as the graph of f(x)= 8x2…

A: Write an equation in standard form of the parabola that has the same shape as the graph of f(x)=…