Write the equation of a quadratic function with roots at 6 and 2, and a vertex at (4, -4/3). Write the equation in standard form. y = y = 4 y = O There is no correct answer given.

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A: Solve for y by subtracting x^2 then take square root. top half of circle (on the top half y is…

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A: Given: f(x)=x2−x−6

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Q: Solve the equation x + 5x – 16 = 0 using the Quadratic Formula. 2 + V3 2 – 3 Give your answers as…

A: Quadratic Formula:

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Q: Write the quadratic equation given: f(1) = -2, f(-1) = 10, and f(0) = 1.

A: Given f(1)=-2 , f(-1)=10 and f(0)=1 General quadratic equation  f(x) = ax2+bx+c  f(1)=2…

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: A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after…

A: A rocket is launched from a tower.The height of the rocket y in feet is related to the time after…

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Q: Use a graphing device to find all solutions of the equation, rounded to two decimal places. 2-x = x…

A: Given, 2-x = x - 1 We have to find intersection point for a given equation so let f(x)=2-x  ---(i)…

Q: Graph the quadratic equation. Identify the vertex and the x-intercepts. 9) y = x2 + 6x + 9 10) y =…

A: Solution: - a) The given quadratic equation  is  given  y=x2+6x+9

Q: Solve this quadratic function using the quadratic formula. 2x2 x- 15 0 °{-3, } ° {;, 3}

A: Solve quadratic function

Q: 1. f(x) = x² + 2x + 4

A: Given that:-f(x)=x2+2x+4since we have to find,equation in the form of y = a (x - h)² + k ,vertex,…

Q: The diameter of a Ferris wheel is 125 feet, it rotates counterclockwise at 2.5 revolutions per…

A: Given, Diameter= 125 feet Radius= 62.5 feet Height= 6 feet above ground Passenger starts the ride at…

Q: Determine whether the statement is true or false. If the statement is false, make the necessary…

A: The given statement is false.  A quadratic equation always can't have distinct solution.

Q: Solve 3x^2=6x-3 by graphing. Select the solutions given in the photo. (Show work)

A: Equation of vertex form is y=ax-h2+k; where (h,k) is the vertex.

Q: Q2/ Create a Visual Basic project to solve for the roots of the quadratic equation: a X²+bx+c=0

A:

Q: A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after…

A: The maximum height where x=(-b/2a) When the equation in the form  ax^2+bx+c=0 .

Q: Write the cubic equation using the form y = a(x-p)(x-q)(x-r), where p, q, and r are the roots and a…

A: Since you have asked multiple question, we will solve the first question for you. If youw want any…

Q: Which equation is a quadratic function reflected over the x axis and shifted up 2? O f (r) = -a? + 2…

A: The quadratic considered here is  f(x) = x2 By reflection in x-axis the whole thing becomes…

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

A:

Q: Write a quadratic equation that goes through the points (2,3), (3,2), and (4,3). y = ax2 + bx + c

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Q: Compute the discriminant of  equation .What does the discriminant indicate about the number and type…

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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: Write an equation (any form) for the quadratic graphed below -5 4 3 -2 - 12 3 4 S -2- y = to 2.

A: Equation of quadratic graph having vertex at (h, k) and concave upward or downward is given by…

Q: e axis of symmetry of the following quadratic equation?

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Q: Write a quadratic equation with -4 and 3/2 as its roots. Write the equation in the form ax2 + bx + c…

A: The given question can be solved as shown in step2.

Q: I. Find the solution sets, discriminant, quadratic equation and describe roots of the following…

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Q: Write a quadratic equation in standard form with the given root(s). 1-8,5 2 1 3

A: As per your demand we solve question 2 for you Given problem:- Write a quadratic equation in…

Q: In a quadratic equation(y=ax^2+bx+c) how does the change in values created in the a,b and c values…

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Q: Find the real solutions, if any, of the equation. Use the quadratic formula. Verify your solution…

A: To find the real solutions, if any of the given quadratic equation:4t2+t+1=0. Solution: We know,…

Q: Solve -x^2+2x+3=0 by graphing. Select the solutions given in the photo. (Show work)

A: Firstly find x and y-intercept and after that make a graph and find solution.

Q: Write the quadratic equation whose roots are  −5  and  1 , and whose leading coefficient is  2

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Q: Write the quadratic equation whose roots are 4 and 1 , and whose leading coefficient is 4 .

A:

Q: Write a quadratic equation in the form x? + bx +c = 0 that has the following roots: Roots: – 10±V15…

A: Answer is mentioned below

Q: Find a quadratic equation from the points: (60,530) (80,410) (100,440). Use the quadratic formula…

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Q: A gun is fired straight up. Assuming that the air drag on the bullet varies quadratically with…

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

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Q: Find the quadratic equation for the height of the arch of a bridge using the flowing facts: the…

A: Given: The horizontal length of arc  = 1800 ftThe y-axis or x=0 passes through point 'O', the center…

Q: Reduce the quadratic equation below to its canonical form, identify it and build the outline of…

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Q: x² – 3x + 2 = 0 <-2 OF What are the solutions of the quadratic equation with this graph? M

A: Given a quadratic equation, x2-3x+2=0

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Q: Convert the quadratic into standard form showing the steps to change forms. State the y-intercept…

A: Given:- y =-0.5(x-5)2+2 To find:- Vertex, y intercept and standard equation

Q: Write the quadratic equation whose roots are 6 and 1, and whose leading coefficient is 2. (Use the…

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Q: F the quadratic equation = 0 are -4

A: We have to choose the correct answer

Q: Use the single-graph method to solve the quadratic equation for 3x2 + 9x + 5 = 0. (Round the answers…

A: topic - quadratic equations