Find the equation of the parabola and put it in the form f(x)= ax^2 +bx+c  Given:  vertex: (7, -4) point: (-3, 5)

Q: Determine the equation of a quartic function that has zeros of-7,5, and point (2, 9).

A: Quartic function is a function of the form f(x) = ax4  + bx3  + cx2  + dx , where a is non zero,…

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: If the line X equals three is the axis of symmetry of a para bola , Which coordinates below could be…

A: The axis of symmetry is a line, that divides the parabola into 2 equal halves. For the parabolas 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: 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: Find the equation of a straight line passing through the point (2,3) and making non-zero intercepts…

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Q: Find the equation for a quadratic with vertex at (-4, 4) and y-intercept at (0, 1) y =

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Q: There is a line through the origin that divides the region bounded by the parabola y and the x-axis…

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Q: opens upward with vertex at (-12,-6) with directrix y=- 17

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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 distance between the point (-4, -3) and (0, 0)

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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: Pam walks along a road which can be modeled by the equation y 3x, where (0, 0) represents her…

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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 line y = 3x² has the minimum distance between the graph and the…

A: according to question, the points (x,y) on the graph are of the form (x,3x2).if D is the distance…

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: Graph the transformed parabola using the table of values method with the mapping rule

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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: A parabola has a vertex at (4,-11) and runs through the point (8,-123). Determine the equation for…

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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 a parabola whose latus rectum is joined by points (2, 1) and (-4, 1)

A: Use equation of parabola

Q: Find an equation of the diameter of circle x²+y²-6x+2y-15=0 which when produced passes through the…

A: Given, Equation of the circle x2 +y2 -6x+2y-15 =0  We have to find the equation of the diameter of…

Q: The parabola passes through the points (−3/2, – 1), (1, 5) and vertex is at (0, 4) with a horizontal…

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Q: Find the equation of the line normal to the parabola y = x2 - 6x + 12 perpendicular to the line that…

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Q: The line passes through the point (4,4) and is parallel to the line 3x-y=6

A: Given, equation of line and point

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: Draw the parabolic path of the bird based on the given data. Black Bird • Vertex: (14,25) • Maximum…

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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: If a parabola y=ax2+ky=ax2+k has vertex (0,−1)(0,−1) and passes through the point (4,2)(4,2). What…

A: A Parabola y=ax2+k       ...(1) has Vertex (0,-1) and Passes through the Point (4,2)

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

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Q: that

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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 an equation in slope intercept form that passes through the point (5,12) and has an x intercept…

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Q: There is a line through the origin that divides the region bounded by the parabola y = 5x – into two…

A: SOLUTION-

Q: Write the equation of the circle of radius 5 that istangent to both axes and passes through the…

A: Write the equation of the circle of radius 5 that istangent to both axes and passes through the…

Q: What is the equation of the quadratic function whose graph is a parabola which opens to the left,…

A: Consider the given: Vertex = 0,0Focus = −2,0End-points of the latus rectum = −2,4 and…

Q: Find the slope of the curve y = 8x – 3x2 at point (2, 4).

A: Explanation of the answer is as follows

Q: Find the curve whose slope at the point (x, y) is x' +2x² – 7x +9 if the curve is required to pass…

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Q: A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 136 meters.…

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Q: How can we Find the slope of the parabola?

A: Let the equation of a parabola be: y^2 = 4ax

Q: Find the image of the point (-4, 2) after its rotated by 30 degrees counterclockwise then rotated by…

A: We will find out the required image of point.

Q: A parabola has a vertex of (-3, 7) and also goes through the point (-6, -11). State the equation in…

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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…

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

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: 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: Find the distance from the point (-4,3,-2) to the yz-plane.

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

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

A: Given : Vertex : -3,-11Point : 0,7