Determine the standard equation of the parabola opening upward, with focus at (0,6) and whose length of latus rectum is 12 (A x²=12(y– 3) B (x- 3)²=12(y– 6) © (x-6)²=12(y- 3) x²= 12(y- 6)

Q: What is the vertex of the parabola y=(x+3)²-4? A (3,4) B (-3,4)

A: The vertex of standard parabola equation  y = x2  is at (0,0)

Q: The focus of the parabola y^2 = 4x is at

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Q: Suppose a and b are positive numbers. Sketch the parabolas y2 = 4a2 - 4ax      and         y2 = 4b2…

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Q: Sketch the parabola f (x) = 2x2 - 4x.

A: Given: f(x) = 2x2-4x To sketch: The given parabola.

Q: A parabola is defined by the equation y=x2+2x+3. Write equations of the tangents to the parabola…

A: Given the equation of parabola:

Q: Which equation represents the parabola graphed on the coordinate plane below? Ay-x-8²-6 А directrix…

A: Vertex form of parabola with vertex h,k⇒y=ax-h2+k

Q: Find the vertex and focus of the parabola represented by the equation (y-2)^2 =-16(x-3)

A: y-22=-16x-3 Comparing with y-k2=4px-h, we get h=3,  k=2  &  4p=-16⇒p=-4

Q: (r- 13) = 10 (y – 11)

A: Let us plot the above equation.

Q: What is the equation of the parabola with axis parallel to the x-axis, whose vertex is at (-1,7) and…

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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: Solve for the equation of a parabola with focus of (-1, -2) and a directrix y = -4. Show solution

A: the equation of a parabola with axis of symmetry parallel to x-axis when the directrix is of the…

Q: Find an equation of the parabola with vertex (- 3, 4) and focus (1, 4)

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Q: Write an equation of a parabola that satisfies each set of conditions. a) opens upward, congruent…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) O Option 1 O Option 2…

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Q: Identify the equation of a parabola with vertex(0,0)(0,0) and focus (0,2)

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Q: Find an equation for the hyperbola whose transverse axis is horizontal, with center at (1, -5) and…

A: Given problem:- Find an equation for the hyperbola whose transverse axis is horizontal, with center…

Q: 6) Write an equation of the parabola with the vertex (3, -1) and the focus (3, -5).

A: Equation of parabola is

Q: O Find the equation of the parabola that has its focus at (-4, 1) and its directrix x = 0.

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Q: The equation of the parabola that has a vertical axis of symmetry, touches the line y= 6 and has its…

A: Your 3rd option is your correct option...detailed solution I have done step by step in…

Q: 1. For the parabola equation: (y-2) = -3(x+4)^2 + 7, in which direction does the parabola open? *

A: We have to find the direction in which the given parabola opens.

Q: y = 3(x+4/3)^2 - 2 How can I determine the x and y intercepts for this parabola?

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