1. Use the worked example to write a quadratic equation that passes through.the points (-1, 5), (0, 3), and (3, 9).

Q: 2. Illustrate how one can complete the square using symbolic notation and algebra tiles to rewrite…

A: since you have asked multiple questions in single request so we will be answering only first…

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: 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: hat is the average of the two solutions of the abitrary quadratice equation ax2 + bx +c = 0

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Q: 4. Which of the following is a quadratic equation? A. 2x? + 6r - 1 B. 8t - 8 = 10 C. x² + 4x -6 = 0…

A: According to our guideline we can only answer first question and rest can be reposted.

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: Which one of the following is a quadratic equation? Select one: O a.-z-5= 10z O b. 2 +3 = 10 Ocz+ 11…

A: In this question we have to find the quadratic equation.

Q: Show that the product of the roots of a quadratic equation is c/a .

A: Consider the quadratic equation ax2+bx+c=0 Also consider that α and β are the roots of the quadratic…

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: (4) Show that in general, the sum of the roots of a quadratic equation ax? + bx + c= 0 b is whereas…

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Q: Do you wholly agree with the statement that “the domain and range of a quadratic equation will be…

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Q: Which of the following quadratic equations matches the given graph below? 10 12 14 O y=2x2+12x-10 O…

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Q: Verify that the quadratic form ax? +bxy +cy²is the same as - [x y]

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Q: The equation m2/3 + 10m1/3 + 9 = 0 is said to be in __________form, because making the substitution…

A: In mathematical expressions/equations, power to which a variable has been raised is called an…

Q: Which of the following equations is a quadratic equation? O 2x° = (2x2 – 1) (3x + 4) %3D O 14x (x…

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Q: Which equations are quadratic? 1 a) 2x? - 5x + 3 = 0 1 = 0 8 d) 4 b) x = x? + 4 e) V2r - 1 = 3 c) x…

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Q: Which of the following quadratic equations matches the given graph below? -10 10 12 14 O y= 2x-4x-5…

A: Here we have a graph of the equation  y= 2x^2 -4x-5 given below:

Q: discuss the nature of the quadratic equation form  x2+4xy+6xz-y2+2yz+4z2

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Q: What is the axis of symmetry of the following quadratic equation? y= 2x-4x-5 O x = -1 O x = -5 O x =…

A: The given equation is: y=2x2-4x-5 The objective is to state the axis of symmetry of the given…

Q: 2. Select the quadratic equation of the graph below AND JUSTIFY YOUR ANSWER. a. y = (x+2)² +1 b. y =…

A: we can easily seen that in the graph when x=0 then y=2 and  when x=-2 then y=1 these points satisfy…

Q: & and ß are the roots of a quadratic equation such that a + B = 2 and aß =. The value 3. *of a' + B?…

A: we have to find the following

Q: e) Prove that the quadratic equation A2-3A = -21 holds true for -6 -6 A = -1 4 3 -6 -4/

A: Given that: A=5-6-6-1423-6-4

Q: If the standard form of quadratic equation is; axt + bx + c =0,then values of a, b, and c in the…

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Q: Which of the following quadratic equation is equivalent to+ = 1? x-5 x2 + 17x + 30 = 0 x² – 17x + 30…

A: The first question is answered below by following the Bartleby guidelines. Please repost the second…

Q: 18. If r and s are the roots of the quadratic equation x2 – 4x – 5 = 0, what is the value of (r +…

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one.…

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: 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: Which of the following are the approximate solutions of the quadratic equation 5x- + 19x - 66 = 0? O…

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Q: Modify the following equation so that it is in quadratic form Determine the values for a, b, and c.

A: In question given question we have to modify the equation in the quadratic form s.t ax2+bx+c=0 and…

Q: 4) Are the following equations Linear, Quadratic, or Exponential? A. 2x+3y=10 B. (x-2)(x+4)=10 C.…

A: to find the type of equation

Q: Verify that the quadratic form ax2 +bxy +cy?is the same as b a 2 || x | [x y] b y 1/27

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Q: Given the following table, what is the quadratic equation? y 3 10 4. 17 O A. 2x2 +1 B. x2 + 1 C. 4x2…

A: x and y values of a quadratic function is given we have to find the equation of function

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: When the quadratic equation (x + 5) (2x - 3) = 2(x + 1) is written in standard form, what are the…

A: Since you have Posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 1. Consider the quadratic equation y = x2 + 5x + 6. What is (are) the coefficient(s) of the…

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Q: Which of the following mathematical equations could be transformed to quadratic form? * 6. x = 0 1 y…

A: We will find out the required solution.

Q: The graph of a quadratic function is shown on the grid. -7-6-5-4 -3 -2-1 123 4 56 7 -1 -2 -3 -4 -5…

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Q: Identify the "b" value of the following quadratic equation given below. 6 = (x- 1)2 O 5 O 1 O -5 -2

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Q: Write a quadratic equation with roots of 1 / 6 and 5 / 8 in the form ax2 + bx + c = 0 , where a,b,…

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Q: \(\) The geometric representation of the equation -4x² - 4y² = -12 is not a cylinder in R².

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Q: (4) Show that in general, the sum of the roots of a quadratic equation ax² + bx + c = 0 b is whereas…

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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: Find the nature of the quadratic form 2x?+2y?+2z?+2yz.

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Q: Which of the following is a quadratic equation? A. 3x + 5 = 0 C. (x + 2) (x - 3) = 5 D. 2x + x2 - 5…

A: Since you have posted many questions here, i can answer only first one.  Please upload remaining…

Q: B. Complete the following table by writing the quadratic equations in standard form and identifying…

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Q: dy 1. (y–1)(y² +1)

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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: If (x -3)2 = 5, what values of x make the quadratic equation TRUE? O A. -5+3 B. -3+5 C. 3+5 V5 3. D.

A: Given: x-32=5 Now taking square root on sides we get, ⇒x-3=±5⇒x=3±5

Q: it is given that α and β are the roots of quadratic equation 2x^2-5x+6=0.Form a quadratic equation…

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