Determine the equation of the quadratic function with vertex (1,4) and passing through the point (−2,31) Your answer should be in vertex form. f(x)=

Q: Find the coordinates of the x-intercepts of the graph of the equation. (If an answer does not exist,…

A: The given equation is,

Q: Find the quadratic function for which: Vertex is ( - 1, 2); contains the point (1, 6)

A: Consider the given point 1,6 and vertex -1,2

Q: Find the quadratic function y = ax2 + bx + c whose graph passes through the points (1, 4), (2, 1),…

A: Given: The linear equation y=ax2+bx+c whose graph passes through the points (1, 4), (2, 1), and (3,…

Q: Find the quadratic function y= ax + bx +c whose graph passes through the given points. (1,- 3),…

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Q: of the quadratic function ,

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Q: The height, h of an object projected upward at velocity vo and an initial height ho is given as a…

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Q: Determine the equation of the quadratic function with vertex (2,4) and passing through the point…

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

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Q: Write the equation of a quadratic function in standard form (y ax + bx + c) that passes through the…

A: The equation of the parabola passes through points and vertex will be,  f(x)=a(x-h)2+k , where…

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

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Q: Find the quadratic function y = ax+bx +c whose graph passes through the given points. (3,31),…

A: As the given quadratic function graph passes through the given points so the given function satisfy…

Q: Find the quadratic function y = ax² + bx + c whose graph passes through the points (1, 4), (3, 20),…

A: Given points are 1,4,3,20,-2,25 The Lagrange's interpolation formula is given as…

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

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Q: Determine the equation of the quadratic function with vertex (2,3)(2,3) and passing through the…

A: Determine the equation of the quadratic function with vertex (2,3) and passing through the point…

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: Create the equation of a quadratic function that has a vertex (3, 18) and x intercept at (6, 0)

A: Find the value of constants from the given condion gives us the equation.

Q: [4] Find the equation of the quadratic function that has a vertex at (-2, 6) and contains the point…

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Q: What is the equation of a quadratic function with a vertex (3, 4) and passes through (1, 2)?

A: Given : Vertex is 3,4

Q: Define the formula for a parabola (a quadratic function) that has horizontal intercepts (roots) at…

A: Given query is to find the equation of the parabola whose roots are x=9 and x=-4. Parabola passes…

Q: Find a formula for the quadratic function with the following properties: zeros at -1 and 6; passes…

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

A: To form the quadratic equation from points (1,-1),(-1,-5),(2,10)

Q: Determine the quadratic equation that has zeroes at -4 and 11, if f(-3)=56. Show all your work.

A: We have to determine the quadratic equation that has zeros at -4 and 11 If f(-3) = 56

Q: 1.у 3D2x? + 3х - 4 - y = Зх- 4 2. у 3 5x?- 7х + 2 3. у %3 3x2-4х +5

A: Topic = Quadratic equations As per guidelines , At a time only three sub-parts of a question can be…

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

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Q: nd the equation of the function with vertex (2, -5) that passes through 7). Place your answer in…

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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: 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 the general equation of a quadratic function whose graph passes through the origin and has a…

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Q: Identify the equation of a quadratic function with a vertex of (3, 0) that also contains the point…

A: As given by the question, There are given that the vertex is 3, 0 and the point is 4, -1. Then, To…

Q: Write the equation of a quadratic function with roots at -6 and -5, and a vertex at (-5.5, -0.25).…

A: We can use the concept of quadratic equation In order to solve the given problem.

Q: The quadratic function y = ax2 + bx +c pass through (2, 1) and tangent to the line y = 2x + 4 at (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: Find the equation of a quadratic function having the x-intercepts a(-4,0) and b(3,0) and passing…

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Q: In a nutrient medium, the rate of increase in the surface area of a cell culture can be modelled by…

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Q: Find the rule of the quadratic function y = ax^2 +bx+c whose graph passes through the points:…

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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: Find the quadratic function y = ax+ bx + c whose graph passes through the given points. (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: Define a quadratic function y = f(x) that satisfies the given conditions. Vertex (-5, 5) and passes…

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Q: Determine, in Factored and Standard form, the equation for the quadratic function that has…

A: The quadratic function is a second-degree polynomia in which the highest power of the variable term…

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

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Q: 3. Determine the equation of the cubic function with zeros -1, 213 and 3, passing through (4, 5).

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Q: Find expressions for the quadratic functions whose graphsare shown.

A: Given

Q: 6. Determine the equation of the quadratic function with vertex (5, -1) and y-intercept of 6.

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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: Use the vertex (h,k) and a point on the graph (x,y) to find the general form of the equation of the…

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Q: Use the vertex (h, k) and a point on the graph (x, y) to find the general form of the equation of…

A: The quadratic function one have to use here is y=a(x-h)2+k