Express y=-2x2+6x+12 in completing the square form. Hence, find the maximum/minimum values of each expression and the corresponding value of x for which this occurs and also state the axis of symmetry.

Q: After a change of variable, the quadratic form 2( * } ) = 3x} – 2x1x2 + 3x X2 may be written in the…

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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: Use the method of completing the square to express f(x) = 3x - 24x + 58 in vertex form. %3D

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Q: To complete the square of x2 - 4x, add______

A: Given x2-4x

Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x² – 10x + 9 Vertex…

A: Given: y=x2-10x+9

Q: Use the graph to find the solutions of -x-x+4 = 0. 2 4

A: NOTE: Refresh your page if you can't see any equations. .

Q: Consider the equation below. 10x2 – y + 5z2 = 0 Reduce the equation to one of the standard forms.

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Q: Use the discriminant to determine how many and what kind of solutions the quadratic equation 3x2 –…

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Q: What is the intermediate step in the form (x + a)² = b as a result of completing the square for the…

A: 5x2-20x-370=-155(x2-4x-74)=-15x2-4x-74=-155x2-4x-74=-3x2-4x=-3+74x2-4x=71

Q: Write the solution set of the equation    x2 + x – 2 = 0 in roster form.

A: We have to factor -2 so that the sum of the factors = +1Factors are 2 and -1. So we write x as 2x-x…

Q: Represent the number you would have to add to an expression of the form x2+bx to make a complete…

A: A complete square would be of the form:Comparing this to the equation given:Hence the missing term…

Q: Solve for the range and axis of symmetry of the given quadratic functions

A: To Solve for the range and axis of symmetry of the given quadratic functions4) y=x2+5x-145)…

Q: Solve by completing the square: x2 + 4x - 1 = 0.

A: Given equation is Completing the square means to put our equation into a slightly different form…

Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x² – 2x – 15 |…

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Q: Complete the square and find the minimum or maximum value of the quadratic function. y = −4x2 + 3x +…

A: Factor out -4 from the first two terms on the right side

Q: y = 2x2-12x + 18 2. y= 2x2 + 5x -3 1.

A: We willl be completing the square 1. y = 2x2 - 12 x + 18 y - 18  = 2 ( x2 - 6 x)y - 18 + 18   = 2 (…

Q: Complete the square and find the minimum or maximum value of the quadratic function. y = x2 − 6x + 9

A: Complete the square.

Q: explain by when solving and graphing a quadratic equation in the form ax^2 + bx + c = 0, there may…

A: Note that roots are also known as the zeros or x intercepts. A quadratic equations graph represents…

Q: Find real solution if any using quadratic formula .  8x2  -x+4=0

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Q: Find all solutions xa-10X+100 =0 by using the quadratic for muld. x=

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Q: the Solve for by using completing square 2x- 3x -1 =0

A: we have to solve for x by using completing the square 2x2-3x-1=0

Q: 4x - y²+ 32x+6y+39 = 0

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Q: discriminate

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Q: Complete the square and find the minimum or maximum value of the quadratic function. y = 4x − 12x2

A: Given quadratic function is Now, we add and subtract the square of half of coefficient of x , that…

Q: To complete the square of x2+5x , add .............

A: To complete the square of x2+5x , addition = ?

Q: Solve for a a %3D 2m²

A: Solve for a

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: Compute the value of the discriminant and give the number of real solutions of the quadratic…

A: Given, -7x2-5x-3=0

Q: Use the discriminant to datermine the number and types of solutions of the quadratic equat -2x= - 3x…

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Q: what are the x-intercept and the y-intercept of each quadratic?

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Q: Find the nature of the quadratic form 2x2 + 2y? + 2z² + 2yz

A: Convert the given quadratic form to matrix form and solve it...

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: Put the quadratic into vertex form and state the coordinates of the vertex. y = x+ 10x- 23 Vertex…

A: We have given  y=x2+10x-23y=x2+2×5x+52-52-23y=(x+5)2-25-23y=(x+5)2-48y+48=(x+5)2

Q: 4. By completing the square, write y = -3x2 – 18x – 19 in the form, y=a(x-h)² + k. Determine the…

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Q: x2 + 3x+ (x+ 5x+ = (x- x² + x+ (x+ 2. ||

A: It is complete square

Q: Complete the square and find the minimum or maximum value of the quadratic function y=3x^2+3x+4…

A: Consider the equation: y=3x2+3x+4……1

Q: Solve by completing the square, show all work: 2x2 - 8x -5 = 0

A: As per guideline we have to solve only one

Q: Solve by graphing: Sy = Зх — 2 | -2x + 8. %3D

A: Given, y=3x-2y=-2x+8     Solve this equation using graphing:

Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x² + 18x + 32 Vertex…

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Q: Which is the vertex form of the equation for the quadratic function y = %3D 2x2 - 16x + 31?

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Q: Find all real solutions of the equation by completing the square x – 10x + 20 = – 1. and x2 with xị…

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Q: To complete the square of x2 - 5x, you add the number _______.

A: We know, (a-b)2=a2-2ab+b2 Now, given expression is:x2-5x On simplifying further we get:…

Q: by completing the square: x2-7x+ 12 = 0

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Q: If the discriminant of a quadratic equation is 2, then the equation has

A: The discriminant of a quadratic equation is given by b2-4ac We know that when the b2-4ac>0 then…

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

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

Q: Write the quadratic standard form as vertex form y = 2x2 + 36x + 170

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Q: Identify the minimum value of the quadratic x- - 4x + 5. Answer:

A: We have to find Minimum value of given function using Second Derivative Test.

Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x² – 10x + 45 Vertex…

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