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

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

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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: In a quadratic eqation(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 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 of the following quadratic equations matches the given graph below? O y= -2x² + 2x + 6 O y=…

A: We have to check given graph which curve

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: What is the value of the discriminant for this quadratic: + 4 = y 4 O 16 O-4 August

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Q: Which of the following quadratic equations matches the given graph below? 10 ○ y=パ-5x O y=+5 O y= -…

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Q: What are the x-intercepts of the quadratic function f (x) = x² + 6x –27? %3D O-1 and 27 O-27 and 1…

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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: 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: Identify the value of a in the quadratic function 4. – 21 = –3x. O A. 4 O B. 3 O C -21 O D. -3

A: To identify the value of a in the quadratic function 4x2-21=-3x. Solution: We know that a quadratic…

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: 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: What is the vertex of the quadratic, 3x - 12x - 1 = f (x) O (4.082,0) O (2, -13) (3,1) O (4,-1)

A: Given, The quadratic expression fx = 3x2-12x-1 We have to find its vertex.

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

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Q: Consider the following quadratics: Q1:x2+y2-5z2-9=0 Q2:x2+y2-8z2=0 Calculate the distance of the set…

A: Given Q1:x2+y2-5z2-9=0Q2:x2+y2-8z2=0

Q: Select all the quadratic equations. 7x3 - 9x2 + 3x - 12 = 0 32t2 - 23t = 9 x+ 6y = 42 x2 - 4y2 = 0…

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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 quadratic equation through the origin that is a best fit for the points: (1,1), (2,5),…

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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: Select all the quadratic equations. 7x3 - 9x2 + 3x - 12 = 0 3212 - 23t = 9 x+ 6y = 42 x2 - 4y2 = 0…

A: The standard form of a quadratic equation is  ax 2+bx+c=0

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: What is the equation of a quadratic in standard form, given the zeros x = 3 and x = 6 and the point…

A: The solution is given below.

Q: Select all the quadratic equations. 7x3 - 9x2 + 3x - 12 = 0 32t2 - 23t = 9 x+ 6y = 42 x2 - 4y2 = 0…

A: Recall: Standard form of quadratic Equation is ax2+bx+c=0 ; where a,b,c are constants. An quadratic…

Q: Write the quadratic equation in vertex form given vertex (O, 3), point (-1, 5) O y= -x? ++ 3 O y=…

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Q: Show that the cubic equation 2x3−3x2−15=0 has a solution in the interval (2,3).

A: Cubic Equation: Let f(x)=2x3-3x2-15We need find that there is a solution between (2,3)

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: 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: What is the vertex of the quadratic equation below? y = -x² + 4x + 3 O (4, 3) O (3, 4) O (2, 7) O…

A: The quadratic function is given by y =-x2+4x+3 To evaluate : The vertex of the quadratic equation.

Q: Show how to solve this equation algebraically: 5y + 2y – (3 – 3y) = 11y + -5y - 4

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Q: Which is the correct set up for the quadratic formula given the equation: 3x2 – 6z = 12 o) 4(3)(12)…

A: The given quadratic equation is  3x2 - 6x = 12

Q: 1. a) Identify the following equations as linear, quadratic or neither. i) y = -x? - 4x + 2 ii) y =…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

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

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Q: of Find the solution(s) to the quadratic equation using the graph below. 10 -10 -5 10 -10 X= Blank…

A: x=3 x=9

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 quadratic equations has roots at (-4, 0) and (10, 0) and goes through the…

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

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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: 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: 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: Choose the letter of the best answer. Write the chosen letter on a separate sheet of рaper. 1. What…

A: Consider the given equation 3x2+5x=6. The general form of a quadratic equation is ax2+bx+c=0, a≠0.…

Q: 3. Select the coordinates of the vertex for the quadratic relation y = -0.5x² + 5. а. (0, 5) b. (2,…

A: The solution of the problem is given in the next step.

Q: Which is the vertex form of the equation for the quadratic function y = 2x2 - 28x + 101? Oy = 2(x-…

A: The quadratic function y=2x2-28x+101, we have to find the vertex form of the equation for the given…

Q: 1. Determine the equation in standard form of the quadratic function shown. 在 (-2,0) (3.0) (4, -3)…

A: Equation of the quadratic equation.