Find the change of variable x = Py that transforms the quadratic form x Ax into y Dy as shown. - 20x19x2 - 18x3 +24x₁x2 − 24x2x3 = -2y³ - 19y/2 - 36y3 P=

Q: What is the vertex of the following quadratic equation? y = x +8x O (-4, 16) O (4, -16) O (4, 16) O…

A: It can be expressed as the general form of parabola.

Q: Determine a change of variables (make sure the coefficient of ₁ is po ₁+ X2 /1 and 12 so that + x₁+…

A: Given that the quadric from                            q= 30x21+(-5)x22+(-120)x1x2…

Q: (3х — 1) (х + 6) and andard quadratic form

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Q: i have a question about the step by step of 0= -x2+4x-5 using the quadratic formula

A: Consider the quadratic equation, -x2+4x-5=0 To solve the given equation,…

Q: If a and 3 are the roots of the quadratic 3r² – 4.x + 6 = 0, find the value of ( + )

A: We have to solve given problem:

Q: Given P(x) = 3æ° – 5x + x° – 23x? – 44x – 12, and - - - that 2i is a zero, write P in factored form…

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Q: My neighbor and I like to kick a soccer ball back and forth to each other over the fence. If we each…

A: Consider the given scenario. Given that the neighbour's location in the picture is given by the…

Q: For the quadratic function f (x) = x² – 4x + 6, which of the following statement is true? %3D a)…

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Q: I was asked to write an equation of the quadratic with the following features: x-intercepts (-3,0)…

A: Given that (–3,0) and (1,0) are x-intercepts. This implies that –3 and 1 are zeros of the function y…

Q: The graph of the quadratic function y=9.25x2−13 crosses the y-axis at point D. Determine the unknown…

A: Graph and y intercept

Q: C. Pick the correct roots/zeros in the following polynomial equations: 1. x-7x+ 6 0 (6, -1, 2 1,…

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Q: 2. Complete the square to rewrite each quadratic equation in the form f (x) = a(x – h)² + k Find the…

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Q: Find the change of variable x = Py that transforms the quadratic form x' Ax into y' Dy as shown. 2 −…

A: Matrix A is of quadratic form ( from LHS) and D be diagonal matrix of eigen values (from RHS)…

Q: 2. Write a quadratic equation that goes through the point (2, 2) and has the vertex of (-1,-3). L

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Q: Find the maximum/minimum value of y = 10-4x - 3x² and where it occurs using completing the square.

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

Q: Classify the quadratic form below. Then make a change of variable, x = Py, that transforms the…

A: The matrix of the form is gievn…

Q: 6. Simplify. a) (2x - 3x2- 6) + (6x – x³ + 4x² + 5) b) (x² – 4)(2x² + 5x - 2) c) -7x(x² + x - 1) –…

A: Given that -

Q: Convert the given quadratic equation to vertex form, i.e., y = a(x – h)² + k. y = x2 + 6x – 9

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Q: Classify the quadratic form below. Then make a change of variable, x= Py, that transforms the…

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Q: Place the following equation into quadratic form. -8 = 2 (x + 9)² O 0 = 2x2 – 36x + 170 O 0 = 2x² +…

A: The given equation is -8=2(x+9)2

Q: A. Convert the following quadratic functions y ax? + bx + c in the form y = a(x - h) + k 1. y = x² +…

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Q: The population of a certain country was approximately 75 million in 1900, 175 million in 1950, and…

A: We have to find quadratic equation and population in 2050

Q: Complete the square for each of the following quadratic forms

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Q: The Quadratic Formula is (а + 0). -b ± V b2 – 4ac O x = a b2 - ас O x = -b ± 2а -b ± V b2 + ac O x =…

A: If given quadratic equation is :-       ax2  + bx + c = 0

Q: B. Determine whether each of the following is a quadratic equation or not. 1. 2x²+ 6x = 5 2. 4x?…

A: We know that a quadratic equation is written in the form of  ax2 + bx + c = 0. Here a is cofficient…