.Calculate the axis of the parabola x² + 2xy + y²-4x+2y-6= 0. Ans. 2 x +2y-1=0

Q: The parabola y = ² is changed to the form y = a (x − p)² + g by translating the parabola 2 units…

A: The parabola y=x2 is changed to the form y=ax-p2+q by translating the parabola 2 units down and 3…

Q: Which of the following is the equation of the parabola shown below? 10-y 8+ 6+ (4,2) 2- .0) + -4 -2…

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Q: Find the change of variable x = Py that transforms the quadratic form xTAx into yTDy as shown 2x? +…

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Q: Find the equation of the parabola whose axis is parallel to the x-axis and passes through the points…

A: We will find out the required value.

Q: O 3. Which is the standard form of the parabola y = -(x +1) + 5? O v = - + 4.5 O v =-+ +5.5 O v =- -…

A: Standard equation of parabola

Q: Determine whether the equation is that of a circle, parabola, ellipse, hyperbola, or none of these.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: For what value of 'y', x² + 12 + x + y² is a perfect square?

A: Given query is to find the value of y which makes expression a perfect square.

Q: What is the equation of the parabola containing the points (0, 5), (–1,9), and (2, 3)? O y = r-z+5 O…

A: The standard form of a parabola is y=ax2+bx+c. The required parabola passes through the 3 points are…

Q: 25. Which equation represents the parabola below? 14 O y=4x² - 6x +17 Oy=x²-4x+5 OV-2X²-8X+9 y…

A: We know  Vertex form of parabola ⇒y=ax-h2+kHere vertexh,k

Q: 14. Which equation represents the given O y = -4(# – 4)² + 5 1= +(7 – 4)2 + 5

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Q: Find the equation of the line passing through the point (7, 2) and perpendicular to the line 5y = 9…

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Q: What is the equation of a parabola that intersects the x-axis at points (-1, 0) and (3, 0)?   A. y…

A: Given that: A parabola intersects x-axis at (-1, 0) and (3, 0)

Q: Identify the vertex of the parabola: Y -5 -7 -4 -3 -2 -1 1 01 90 8 1 2

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Q: 6. Write an equation for each parabc a) (2 4) 4- 2 - |(4. 0) b) |(-3, 0) 2 0 -2 (-1, –4) 6.

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Q: The vertex of the parabola given by the equation x² = 20 y is O A. (0,0) В. (4,5) С. (0,5) D. (4,0)

A: Here we have given that the parabola is x2=20y

Q: ASAP PLS. The given equation of a parabola is y=x2-2x-3. Suppose you shift the parabola 2 units to…

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Q: Find all points where the parabola y = 9 - x² 1 intersects the line y = zx+6. 2

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Q: Write the equation of the parabola that opens up, has a vertex V(3,-3), and is congruent to y = ².…

A: Here we have to choose the correct option.

Q: What are the intersection points of the parabola given by the equation y = x2 – 9 and the line given…

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Q: O y = -(x+ 4)² + 5 | O y = -(x- 4)² – 5 | O y = #(x – 4)² + 5 O y = -( - 4)² + 5

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Q: 2. Which of the equations below also represents the parabola y=-3x² 18x + 16? Oy=3(x+3)² +65…

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Q: 7. Write an equation for each parabola a) 0, 11) 8- 4- (4, –5) b) | YA |(-6, 4) 4- (-5.3) 2 -6 -2 0…

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Q: 2. Which equation represents a parabola with vertex (4,4) and directrix y = 2? Oy=2x² - 4x + 4…

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Q: Identify the x and y-intercept(s) for the parabola with the equation y = 3x² + 3x - 6. Select one: O…

A: The given equation of the parabola is: y=3x2+3x-6  To identify the x and y-intercept(s) for the…