Find the quadratic fúnction y= ax²+ bx +C whose graph pabses through the given points :(1,6), (-1,-4), (-3, 10)

Q: What value of x gives the maximum value of the quadratic function y=-5x2+7x+3?

A: The given function  y = - 5x2 +7x +3 To find the minimum or maximum value of the function. We have…

Q: Determine the quadratic function whose graph is given below. (-1,7 3,7) -10 -5 (0.- 2 10 -10- -20

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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: Find the equation of the quadratic function whosegraph is a parabola containing the points (-2,…

A: The quadratic function passes through the points -2, -4,  3, 1  &  2, 4. Let the quadratic…

Q: find the quadratic function for which:   Vertex is 1 - 1, 22; contains the point 11, 62

A: Vertex form of a quadratic function: y=ax-h2+k        ...(1) Where (h, k) is the vertex.

Q: 9. Determine the equation of the quadratic function that has x-intercepts 1+ V3 and 1- V3 and passes…

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Q: Find an equation of the line through the point (3, 2) that is parallel to the line 2x +y +5 = 0.

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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 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: Find the quadratic function y = ax2 + bx + c whose graph passes through the points (-1, 0), (1, 4),…

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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: Determine the quadratic function whose graph is given below. AY 20- 10- (-1,5 (3,5) (0,-1 -> -10 -5…

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Q: Find the maximum and minimum values of 3x -2x³- 6x² + 6x +1 in the interval (0, 2).

A: Given that f(x)=3x4-2x3-6x2+6x+1  We have to find maximum or minimum value in (0,2)…

Q: y=ax2+bx+c

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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: Find the quadratic function y= ax2 + bx + c whose graph passes through the given point…

A: I have provided solution in step2.

Q: Determine the equation of the quadratic function with vertex (3, 5) and passing through the point (–…

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Q: Find the equation of a quadratic function whosegraph is a parabola passing through the points(-2,…

A: Let the quadratic equation be y=ax2+bx+c

Q: Which quadratic function has a vertex point of (3, 5) and passes through the point (-2, 55)?

A: vertex point (3,5) (h,x) = (3,5)passing point (-2,55)

Q: Find the point on the line 3x + y= 9 that Is closest to the point (-5, 1). (x, Y) - (

A: According to question given that Line 3x+y=9, closest to the point (-5,1)We have to calculate the…

Q: Find the equation of a quadratic function from its graph.

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

A: Equation of quadratic function is given by as y = a(x-p)(x-q) Where x,y = passing point p,q = roots…

Q: point on the line

A: I

Q: What are the graphs of the constant functions x = x0, y = y0, and z = z0 in the rectangular…

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Q: Use the vertex (1,6) and a point on the graph (6,-19) to find the equation of the quadratic…

A: Given: Vertex1,6Point on the graph 6,-19

Q: Find the quadratic function for which: Vertex (3,-4) is contains the point( 4,2)

A: Solution: A quadratic function can be written in the vertex form : f(x) = a(x-h)2 + k where (h, k)…

Q: What are the roots of the quadratic function y--6.1x-97.6x– 390.4?

A: Directly use the quadratic formula and find the roots.

Q: Find the point on the line 3x + 3y - 3 = 0 which is closest to the point (-2, 1). )

A: To find closest point on the line, draw perpendicular from the given point to the given line. The…

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 minimum or maximum value of the quadratic function. f(x) = −2x2 + 4x − 7  ---Select---…

A: To find the minimum or maximum value of the given quadratic function.

Q: A quadratic function will not always have zeros.

A: This given statement is true.

Q: Find the point on the line y = 2x + 1 that is closest to the point (2, 2).

A: Given: Given equation of the line is y=2x+1 We want to find the point on the line  y=2x+1 that is…

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

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Q: Determine the quadratic function whose graph is given below. 20- 10- -10 -5 10 4.-2)

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Q: Find the quadratic function y = ax + bx + C whose graph passes through the given points (-2,8), (1,…

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

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Q: Find the point on the line 4x + y = 9 that is closest to the point (-3, 1). (х, у) %3

A: 4x+y=9 and the point is -3, 1. Let x, y be the required point on the line. Now the distance between…

Q: Find the equation of the quadratic function whosegraph is a parabola containing the points (-1,…

A: Find the equation of the quadratic function whose graph is a parabola containing the points, Given:…

Q: Find the value of x that results in a maximum value of y if -2=x^2+y^2-4x+4y?

A: The given equation is -2=x2+y2-4x+4y. To find the value of x that results in a maximum value of y,…

Q: Find the point on the line y = 2x + 1 that is closest to the point (5, 2).

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Q: Find a quadratic function whose horizontal intercepts are X = -2 – V7 and x = -2 + V7.

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Q: 3. Write the quadratic function whose maximum value is 5 when x = 2 and whose parabola passes…

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Q: Determine the quadratic function whose vertex is (1,-5) and whose y-intercept is -3.

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Q: Determine the quadratic function whose graph is given below. 20- 10- -10 -5 0, - 2) 5 10 (-2,- 6…

A: given graph represent  a parabola open towards positive y axis

Q: Find the equation of the quadratic function f whose graph is shown below. 10- 8- 6- (-) = [| %3D (6,…

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Q: Find a quadratic equation that fits this set of data points: (0,-5) (3,4) (9,4)

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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.