The parabola shown is the graph of  y = f(x) = ax2 + bx + c.   Find the sign of a, b, f(-b/2a), and b^2 - 4ac.

Q: Find the equation of a parabola with vertex on the line y = 2X, axis parallel to the x- axis and…

A: The equation of parabola parallel to horizontal axis is  x=(y-k)2+h --------------------(1) The line…

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

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Q: Find the equation of a quadratic function whose graph is a parabola passing through the points…

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

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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: A parabola of y=x^2 has been regraphed and now sits with each side plotted at (-3,5) and (3,5) and…

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Q: Find the vertex. Give the range of the parabola in interval notation. y=x2-4x-7

A: To find the vertex of the parabola, we use the formula where (h, k) is the vertex of the parabola.…

Q: What is the equation in vertex form of a parabola with a vertex of (-3, 4) that passes through the…

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

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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 the equation of the parabola in vertex form that passes through (-4, 7) and has a vertex of…

A: We need to find the equation of parabola with the given vertex and point.

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: 18. Write the equation of a parabola with the shape as f(x)=-2x² but with the vertex (-3, 2).

A: Please refer the attached image for complete solution.

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

A: Topic = Application of Derivative

Q: How to write the equation of the parabola with a vertex of (0,0) and axis of symmetry the y- axis;…

A: We have to write the equation of parabola with vertex (0,0) and a point in the parabola that is…

Q: Write the equation of the parabola that has the same shape as f(x) = - 6x but with vertex (- 5,3) in…

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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 equation  of the quadratic function whose graph is a parabola passing through(0,-2)(-2,12)…

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Q: Draw the graph of a quadratic function that has a vertex at (−2,5) and has a y-intercept of 3. Make…

A: Quadratic function and it's graph

Q: Can you do a parabola with the starting point being (0,0)

A: Given a parabola with equation y=x2

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

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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: Find the equation of a parabola whose vertex is located at (2, −3) and whose focus is located at…

A: Given: vertex: 2,-3focus: 0,-3 To Find: Equation of a parabola. Concept: Horizontal…

Q: The water from an outdoor fountain follows a path that is shaped like a parabola. The arch created…

A: Given - The water from an outdoor fountain follows a path that is shaped like a parabola. The arch…

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: Find the equation of the parabola with vertex (−3,1)(−3,1) and yy-intercept 22(or (0,2)(0,2)).

A: topic - equation of a parabola

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: Determine the equation of the parabola with vertex (2,8) and x-intercepts 0 and 4 in factored form…

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

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Q: 7. Write the equation of the parabola in vertex or intercept form. ya(2) -1, 0) (2, 0) (0, -4)

A: Here we have to find equation of given parabola.

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 the standard form of the quadratic function whose graph is a parabola with the given vertex…

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Q: Find the cubic polynomial whose graph is passing through the points

A: A cubic polynomial is a polynomial with the highest degree of the polynomial equal to 3. The…

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: Find the focus of a parabola passing through (-4,-6) whose vertex is at (-2,-4)(and whose axis is…

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

A: The rectangle has its base on the x-axis and its other two vertices above the x-axis and lying on…

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

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Q: Suppose the axis of a parabola is parallel to the yy-axis and passing through the points (0,3),…

A: Given that, the axis of a parabola is parallel to the y-axis. Let the Vertex of the parabola (h, k)…

Q: Find the equation of a quadratic function whose graph is a parabola passing through the point…

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