Find two quadratic functions,one that opens upward and one that opens downward, whose graphs have the given x-intercepts. (−5, 0), (5, 0)

Q: Find the zeros of the quadratic function y = -2x2 - x + 2.

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

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Q: Find the coordinates of the vertex of the quadratic function: y=x2+3

A: The quadratic equation is given by,

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

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Q: Find the equation of the quadratic function f whose graph is shown below. (5, 4) s(x) = | 10 12 14…

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

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Q: determine the quadratic function if the vertex V ( -2,6 ) and a point on the graph P(-4,-2) are…

A: Given:

Q: Determine the quadratic function f. Simplify. The vertex is (3,-1) and the other given point is…

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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 the quadratic function y = ax2 + bx + c whose graph passes through the given points (-1, 6),…

A: Given, y = ax2 + bx + c  Given points (-1, 6), (1, 4), (2, 9).

Q: Write the equation of a quadratic function with roots at 5 and 1, and a vertex at (3, -4). Write the…

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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: Find the X and Y intercepts of  y= 1 - the square root of 1 -x2

A: Given,

Q: Write the quadratic function in  f(x) = a(x − h)2 + k form whose points on the graph are (-1,-5)…

A: The given function is- fx=ax-h2+k Since, fx=y Hence, the quadratic function can also be written as-…

Q: Find the equation of the quadratic function in factored form that has roots 3 and -1 and passes…

A: The standard form of the quadratic function is fx=ax2+bx+c, where x is a variable and a, b and c are…

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: Write the equation of the quadratic function in vertex form and state the vertex of the graph. f(x)…

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Q: Find the equation of the quadratic function in factored form that has roots 3 and -1 and passes…

A: equation of quadratic function in factored form that has roots a and b is : y=C(x-a)(x-b) here C is…

Q: Determine the equation of the quadratic with roots of of -32. +13 -2± √2 and that has a y-intercept

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Q: Find the vertex of the quadratic function f(x) = 3x2 − 36x + 107.

A: Consider the given function f(x) and compare it with general equation for parabola to find the…

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

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Q: Find the equation of the quadratic function g whose graph is shown below. -10 -8 (-2, – 5) . 8 (x) =…

A: The general equation of downward opening parabola is  (x-h)2=4p(y-k), where (h,k) is the vertex.…

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: Determine the equation of the quadratic function that passes through (-3, 20) if its x-intercepts a…

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Q: Match the quadratic function with its graph. (x) = x- 2)2 y 10 -5 10 10 5

A: Given query is to find the graph of the quadratic function.

Q: F Equation: Solution: -5 | -4 -3 -2 -1 01 -1 4. 3. 2.

A: Here we have to find the equation of the given graph.

Q: Identify the vertex of the quadratic function f(x)= -4 (x+5)^2-11

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Q: Find expressions for the quadratic functions whose graphs are shown y. (-2, 2), (0, 1) (4, 2) 3…

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Q: Select the graph of the quadratic function f(x)=x²+2x+2. Identify the axis of symmetry.

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Q: Write the quadratic function from the given table. -1 1 3 4 6 y 2.5 -1.5 -2 -1.5 2.5 LO

A: We find the quadratic function by using least square method :

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: Write the equation for a quadratic function f(x) with roots at r = – 3 and r = – 8 that also passes…

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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: Find the intercepts of the graph of each quadratic function. Show solutions also. 1. y = 4x^2+8x+3…

A: 1. y=4x2+8x+3 Y intercept is where x=0. So, y=4×02+8×0+3=3 So, y  intercept is (0,3)      x…

Q: use quadratic functions. Suppose that the cost function for a particular item is given by the…

A: We have to use quadratic functions. The cost function for a particular item is given by the…

Q: Determine the equation of a quadratic function in standard form given zeros x=5, x = -12

A: Given zeros of polynomial are X=5,X=-12   The zeros of a polynomial are those values of the variable…

Q: 2. Determine the equation of the quadratic function which passes through the points (-2, -20), (1,…

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Q: Find the equation of the quadratic functionf whose graph is shown below. (-2, 2) f(+) - I -4+…

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Q: (-4,3) -10 10 (0, – 13)

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Q: find the Quadratic function y=ax2+bx+c whose points pass through the points (-1,6), (1,4), (2,9)

A: How to solve: you need to find the value of three variables, so you will three equations for that.…

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 the coordinates of the vertex of the quadratic functions beneath:   y=3x2 y=3x2-2 y=-x2+3

A: (a)We can compare with quadratic equations and find a , b and c

Q: Determine the quadratic function. The vertex is (1,-1). The y-intercept is (0,2).

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Q: Write a quadratic function h whose zeros are -6 and -1 H(x) =

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Q: Find the quadratic function for which: Contains the points (0, 5), (1, 2), and (3, 2)

A: The given points are,  (0, 5), (1, 2), and (3, 2). The quadratic equation is of the form y=ax2+bx+c.…