Write the equation of a quadratic function with roots at 5 and 1, and a vertex at (3, -4). Write the equation in standard form. • y =x -7x+6 O y =x - 3x+9 O y =x - 4x +8 O There is no correct answer given. O y =x -6x+5

Q: Find the roots of the quadratic equation x + 2x - 3 = 0.

A: We will find the root by two methods first by splitting the middle term and second by discriminant…

Q: Find the general form of the quadratic equation with the vertex (-2,-3) and a point on the graph…

A: Given: The vertex of the quadratic equation is (-2,-3) and a point on the graph (4,33).

Q: The vertex of the quadratic function f(x)=1.8(x-3)2 -4 will be, Select one: О a. (4,-3) O b. (3.-4)…

A: We have to check

Q: Solve for the zeros of the quadratic function f(x) = 9x2 + 6x + 1. Write the answer as a fraction.…

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Q: Write the equation of the quadratic function in vertex form given the the vertex (1, 4) and a point…

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Q: Find a,b, and c, so that the graph of the quadratic equation y=ax^2 +bx +c passes through (-3,32),…

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Q: Find the equation of the quadratic function g whose graph is shown below. g (x) = 0 -12 -10 -2-…

A: We have given graph of the function  Let equation of the quadratic function  gx=ax-h2+k…

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 real solutions of each quadratic equation: (a) 5x2 + 5x = 1 - 5x2 (b) 2x2 - 8x - 10 = 0…

A: Answer is mentioned below

Q: Which of the following quadratic equations has solutions -4 and 5? A x2 - x-20 = 0 %3D В x2 + x – 20…

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Q: Which of the following quadratic equations has roots at (-4, 0) and (10, 0) and goes through the…

A: Option (C) is correct option. The roots of the equation are -4,0 and 10,0. So, x=-4,10. Use the…

Q: Find the quadratic function y = ax + bx +c whose graph passes through the given points. (-2, - 4),…

A: put all 3 data points system Ax=b is

Q: Write in vertex form the equation of a quadratic function with a vertex at (-2, 1) and the point…

A: Algebra  Quadratic equations

Q: Write an equation for the quadratic graphed below Zeros at x = 3; y-intercept: (0,12)

A: Topic:- function

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

A: I have provided solution in step2.

Q: What are the real root(s) of the quadratic equation whose related function is graphed below? A (3,0)…

A: The x-intercepts of the graph are the roots of concerned quadratic equation.

Q: Which equation represents the graph of a quadratic function that has a vertex located at (-3, -1)?…

A: To find: The equation of quadratic function that have vertex located at -3,-1. Formula used: The…

Q: Find the quadratic equation given two roots using x^2 - (r + s)x + (r ⋅ s) = 0 1. 4 and 5 2. 6 and…

A: topic - quadratic equations

Q: 1. Determine which of the following are Quadratic Equations. Select ALL that apply. a. -x2 +4x-3 b.…

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Q: Write the equation of a quadratic function with the given zeros. 0, 4, and -4 x2 +

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Q: Find the quadratic function y=ax2+bx+c whose graph passes through the given points ​(−1​,−16​),…

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Q: The two initial values of the roots of the equation x^3 - x - 3 = 0 are A) 1,0 B) -2, 1 c) -1,0 D)…

A: Please refer the attached image for complete solution. THANK YOU.

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 discriminant of the quadratic equation and give the number and type of solutions of the…

A: If the discriminant is greater than zero, this means that the quadratic equation has two real,…

Q: 3. Which of the following quadratic equations will have two real and distinct roots? B. 9x- 6x +1-0…

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Q: Which of the following quadratic equations matches the given graph below? O y= 2x -4x+5 O y= 2x*…

A: Let the general form of quadratic equation y = ax2 + bx + c It has minimum value at x = (-b/2a) and…

Q: Find the vertex of the graph of the quadratic function. -x2+12x-36 O a. (-6, -6) а. O b. (0, 6) О с.…

A: y = a(x-h)2+k  vertex (h,k)  we use completing square method

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: Write the equation of a quadratic function with the given zeros. 2 and -6 22 + I +

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Q: Solve 6x^2-2x+1=0 using the quadratic formula while find both of the Xs. (Show work)

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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: Write the equation of the quadratic function in standard form given the roots are 2 and -2 and a…

A: Write the quadratic equation with the help of roots and satisfy the given point.

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 quadratic equation given two roots using x^2 - (r + s)x + (r ⋅ s) = 0 1. 3 and 7 2. 4 and…

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Q: Write a quadratic equation in standard form with - 4 and 3/2 as its roots. I 2x^2 - 5x - 12 = 0…

A: Given;           Roots of the quadratic equation are -4 and 32 Using the given roots, make a…

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: Write a quadratic equation that goes through the points (0,5), (2,1), and (1,2). y = ax2 + bx + c

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Q: Which of the following quadratic equations contains the vertex (-5, 6) and has a y-intercept of (0,…

A: Given: - The vertex of the quadratic equation is, (-5,6) and has a y-intercept of (0,31) To find: -…

Q: Find the quadratic function y = ax? + bx + c whose graph passes through the given points. (1,7), (–…

A: By satisfying the function with given points  we will obtain the system of linear equations and…

Q: Find the quadratic function y = a(x-h) whose graph passes through the given points. (12,- 4) and…

A: Solve for the quadratic function

Q: Find the general form of the quadratic equation with the vertex (3,2) and a point on the graph…

A:

Q: Write the equation of a quadratic function with roots at -4 and -2, and a vertex at (-3, 1). Write…

A: The quadratic equation with roots at -4 and -2 is given by: y=C(x+2)(x+4) where C is the constant.

Q: Which of the following equations is a quadratic equation? O 14x (x2 + 1) = 15 O (x2 + 5) (x² - 5x +…

A: topic -  quadratic equation

Q: The table contains values for x and y in a quadratic function. -3 12 8- -12 2. 8. What are the roots…

A: Given,

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

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Q: Which equations are quadratic? a) 21 - 5x + 3 = 0 b) * = + 4 c) x = 4 d) - - - 0 e) V2r - 1 = 3 f)…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: Write the equation of the quadratic function in standard form given the roots are 6 and 3 and a…

A: Let the standard form of the quadratic function is  y=ax^2+bx+c  But 6 and 3 are the roots of the…