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

Q: Write in standard form of the quadratic function whose vertex is (-2,-1) and has a point of (0,3)

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Q: Which function has x-intercepts at −2π, −π, 0, π, 2π?

A: Given-  The function has its x- intercepts at -2pi, -pi, 0 , pi, 2pi

Q: Determine the equation of the cubic function that has roots at -3, -5, and 3 and passes through the…

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Q: Find two quadratic functions,one that opens upward and one that opens downward, whose graphs have…

A: Let us find the quadratic functions whose graph have given x-intercepts:      fx=ax-sx-r…

Q: Find a cubic function whose x-intercepts are 3, 1 and -4 passes through the point (4, 72). The value…

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Q: Find the linear function whose graph passes though the point 13, 22 and is parallel to the line y =…

A: Given line 4 : y=3x+8Compairing with y=mx+C , slope of line 4 is m1=3 Hence , the slope of line…

Q: Write an equation for a quadratic function in vertex form with vertex (21, 6) that passes through…

A: Given that Quadratic function whose vertex is 21,6 and passes through point 23,4 To find : equation…

Q: Use calculus to find two numbers whose product is -16 and such that the sum of the squares of the…

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Q: Enter an eqvation_for the line of symmetry for the function flx)=4x²+[6X-9 %3D

A: The function is given by f(x) = 4x2+16x-9 To evaluate : Equation of the line of symmetry

Q: Plot the x-intercepts of the function ƒ (z) = zª + 3z³ – 4z² – 12z.

A: Given,          The function is fx=x4+3x3-4x2-12x .

Q: In which form should the equation of a quadratic function be written to most easily determine the…

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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 equation of a straight line passing through the point (2,3) and making non-zero intercepts…

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Q: Find the rule of a quadratic function whose graph has the given vertex and passes through the given…

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Q: A quadratic function has roots 3 and - 5, which passes through the point (1, 5). Under what…

A: Explanation of the answer is as follows

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

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Q: What is an equation of the line that passes through the points (3,4) and (4,6)? Put your answer in…

A: Given             two points P(3,4) and Q(4,6)  To find equation of line passing through these…

Q: What is an equation of the line that passes through the points (−6,−5) and (−2,3)? Put your answer…

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Q: What is an equation of the line that passes through the points (0, –5) and (–6,0)? Put your answer…

A: We have to write an equation of the line that passes through the points (0,-5) and (-6,0).

Q: Approximate the function that represents the data (2, -2), (4,2), (5,3) by a cubic spline.

A: Solution:

Q: Find all points having an x-coordinate of 2 whose distance from the point  (-2, - 1) is 5.

A: Distance(D) between two points Ax1, y1 and Bx2, y2 is D2=x1-x22+y1-y22…

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

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Q: Find all points having an x coordinate of 3 whose distance from the point (-1,-6) is 5

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Q: What is an equation of the line that passes through the points (1,4) and (−2,−8)? Put your answer in…

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Q: What is an equation of the line that passes through the points (−3,3)and (−6,2)? Put your answer in…

A: Explanation of the answer is as follows

Q: Find an equation of the vertical line with the given property. Passes through the point (−7, 9)

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Q: Find the equation of the line through the given pair of points in standard form using only integers…

A: To find the standard equation of the line passing through the points. (-3,0) and (0,4)

Q: Find the equation of the linear function f that passesthrough the points (4, 1) and (8, - 5).

A: Our Aim is to find the equation of the linear function f that passes throughthe points (4,1) and…

Q: Write an equation of the quadratic function with the vertex at the point (-1, 4) and such that f (0)…

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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: 5. Determine the equation of a quadratic function given zeros x = 4 and point (3, 2).

A: Quadratic equation

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 equation of the quadratic function f whose graph is shown below. (2, 7) (3, 4) )- 0 ID

A: This question can be solved using the general equation of parabola.

Q: A quadratic function will not always have zeros.

A: This given statement is true.

Q: What is an equation of the line that passes through the points (6, 1) and (7, 2)? Put your answer in…

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Q: Approximate the function that represents the data (2,-2), (4,2), (5,3) by a cubic spline.

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Q: Find the equation of the linear function whose graph is given here. Use the letter x in your answer…

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Q: What is an equation of the line that passes through the points (−4,−1) and (3,−8)? Put your answer…

A: The equation of line passing through two points is given by- x-x1x2-x1=y-y1y2-y1 Here,…

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

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Q: What is an equation of the line that passes through the points (0,−7)and (−8,3)? Put your answer in…

A: we have to find the equation of the line which is Passing through two given points

Q: Which is an equation with a degree of 4, zeros located at (4,0) and (3,0) and a y-intercept located…

A: Given that zeros are located at (4,0) and (3,0). So corresponding factors are (x-4) and (x-3)…

Q: What is an equation of the line that passes through the points (8,2)and (−4,5)? Put your answer in…

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Q: Express the quadratic function f(x)=x^2-x-4 in standard form.    Then sketch the graph.

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Q: 3. Write the function defined by fx) = -2x2- 12x in vertex form and identify the vertex of the…

A: Given,

Q: What is an equation of the line that passes through the points (4,−7)and (2,−1)? Put your answer in…

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Q: Write the rule of the cubic polynomial with roots 5, -2, and 0 that passes through the point (3,–7).

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Q: Find the quadratic function whose graph passes through the points (-1, -2), (2, 1), and (-2, 1).

A: You are looking for a function with:quadratic functionPoint at (-1|-2)Point at (2|1)Point at…

Q: use quadratic functions. Find two numbers whose sum is 30, such that the sum of the square of one…

A: Given :                The two numbers whose sum 30 is…

Q: What is an equation of the line that passes through the points (−6,−4) and (−4,0)? Put your answer…

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

A: In the question we have to find equation of parabola from given points of vertex and point in curve.