3. Express the quadratic in vertex form. Make sure to clearly show every step in completing the square to the right. 2x - 12x + 16 =y 2 What is the vertex of the parabola?

Q: 11 Write the equation of the parabola that has "a" value 3 and y-intercept 6. 0/1

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Q: The general form of an parabola is 2x-12z-3y+12 0. What is the standard form of the parabola? Enter…

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Q: What is the turning point of the parabola whose equation is y = 2x2 + 4x- 3? А (1,3) С 2, 13) 8…

A: The turning point is the vertex.  The formula is   -b2a given equation y=2x2+4x-3compare the…

Q: The vertex of a parabola is (-5, 2), and its focus is (-1,2). What is the standard form of the…

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Q: Put the quadratic into vertex form and state the coordinates of the vertex. y = x² – 14x + 47 Vertex…

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Q: What are the coordinates for the vertex of the parabola y = 3x2 - 6x- 1? O (1,-4) O (1,4) 0(-1,4)…

A: answer is option A.)   explanation is given in below step

Q: If the x term or the (x-h) term in the equation is squared, the parabola opens up or down. O True O…

A: TRUE Proceed as explained below...

Q: Find the coordinates of the vertex of the following parabola usin technology. Write your answer as…

A: given parabola is                                                  y=4x2-48x+128 we have to find…

Q: Write the equation of the parabola that has the same shape as f(x) = - 6x? but with vertex ( - 5,3)…

A: In this question we have to write the equation of the parabola that has the same shape as f(x)=-6x2…

Q: Find the equation of the parabola given 3 points using quadratic formula. (33,-9) (49,23) (68,3)

A: We have to find the equation of the parabola given 3 points using the quadratic formula. The three…

Q: The vertex of the parabola y = 5x? – 40x + 83

A: Given,         y=5x2-40x+83We know that,        The vertex of the parabola y=ax2+bx+c is given by…

Q: The equation of the parabola which opens up, vertex (-3, 4), and the length of latus rectum is 8…

A: Given that 8)  parabola open up with vertex (-3,4) and length of latus rectum is 8 9)  the parabola…

Q: Find the vertex of the parabola defined by the following equation: (y – 2)² = –4x – 8 - -

A: Given : y - 22 = -4x - 8

Q: Which of the following is the vertex of the parabola represented by the equation y+5= 6(x - 6)??…

A: the vertex form of a quadratic equation is y=a(x−h)2+k. parabola's vertex: (h,k).

Q: given the equation of parabola y^2 -8x -4y -20=0,find the length of latus rectum

A:

Q: of Write an equation in vertex form for each parabola. 11. (5, 4) -16, 1)

A: Given

Q: 8. Draw the parabola with the equation: 4x² + 6x – 3y = 4.

A:

Q: 10 Write the equation of the parabola that has "a" value -1 and vertex (-2, 5) ?/1

A: Given  Vertex : (-2,5) a=-1

Q: use the method of completeing the sqaure to find the vertex of the parabola whose equation is…

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Q: 12. Use vertex form to write the equation of the parabola. y= 3(x+2)° +2 y= 3(x- 2)° +2 y= 3(x- 2)°…

A: best and easiest way is one by one checking if the given option satisfy the given points (-2, 2) and…

Q: Ay 3-

A:

Q: Find the equation of the parabola given 3 points using quadratic formula. (-3,38) (25,51) (-1,65)

A:

Q: 12. (-2, 13), (1,-17), (7, 31)

A:

Q: Find the vertex of the given parabola. Give all values correct to 3 decimal places. y = 7x2 - 8x +…

A: A detailed solution is given below

Q: Draw the parabola with the equation: 4x^2 + 6x − 3y = 4.

A:

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

A:

Q: The general form of an parabola is 2x2 – 12x – 3y + 12 = 0. - What is the standard form of the…

A:

Q: B. A: 2/34 Correct the parabola other than the vertex.

A: Explanation of the answer is as follows

Q: The axis of the parabola given by the quadratic equation 2x + 12x +7= 0 is: O r= 36.00 O r = 3.00…

A: For given parabola, its type of (x+a)2=4by but here y is not in an equation so that is zero. So…

Q: What is the vertex of the parabola represented by y = -2(x – 6)² + 5? O (5, 6) O (-6, 5) (6, 5) O…

A:

Q: 2. The murderer's height, in inches, is equal to the y-intercept of a parabola with roots of -2 and…

A: The roots of the parabola are -2 and -32. The murderer's height is equal to the y-intercept of a…

Q: Determine the number that completes the square when writing the equation in the vertex form of a…

A:

Q: Find the equation of the parabola having the origin as its vertex, the y axis as its axis, and…

A: The equations  of the parabola whose vertex is at the origin and its axis is about y axis are…

Q: the length of the latus rectum of the parabola 4y=x^2-6x+21 is

A:

Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y=6-x² What is the…

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Q: 10. Write the standard form of the equation of the parabola with vertex (5, -3), opens right, and…

A: Solution

Q: Which point on the parabola is one of the roots of the quadratic equation y = -x² – 3r + 4? %3D -2…

A: The roots of the quadratic equation are given by the points at which its graph cuts the x axis.

Q: Write an equation for a parabola that is congruent to the graph of y = x2, opens downward, and has…

A:

Q: A rectangle is inscribed with its base on the ?x-axis and its upper corners on the parabola y=2−x^2.…

A: Given, The equation of the parabola is y=2-x2

Q: Write the equation of the parabola in standard form. + 8y + 4x + 36 = 0.

A:

Q: What is the length of the latus rectum of the parabola: y2 – 4y – 8x – 28 = 0?

A: Given, y2 – 4y – 8x – 28 = 0 General equation of parabola with center (h,k) (y-k)2=4a(x-h)    ---(i)

Q: 01 Write the equation of the parabola that intersects the X-axis at (-2,0) and (4. 0) in…

A: Solution: The objective is to write the equation of parabola that intersect the given points

Q: What is the vertex of the parabola      y=(x-1)2-9?

A: Given the equation of parabola

Q: 5) Write the equation of the given parabola in VERTEX FORM.

A: Given that: Graph of a parabola.

Q: 5. Complete the square and write into graphing form: a. y= x² – 2x +2 b. y = 2x – 4x - -

A:

Q: 1) What is the turning point of the parabola whose equation is y 2x2 + 4x - 3?

A: