The parabola y = x² – 1 is constructed, but the axes are gone, somehow! With the help of ruler and compass, let's reconstruct them. Here's a parabola to work with:

Q: Describe the part of a hyperbola given by the equation.

A: Given equation is  x=23y2-36

Q: What is the general equation of a parabola that opens upward with V(-1,2)?

A: The general equation of the parabola opening upwards is x-h2=4py-k where (h,k) is vertex. here…

Q: (b) Find an equation for the parabola that has axis x = -1 and passes [3] through the points (4,5)…

A: Directrix is a line which together with a point called the focus defines the set of points that form…

Q: Determine whether this is a parabola: y = 5a + 80x + 321 . O Parabola Not a parabola If it is a…

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Q: A hyperbola in standard position has equation 36x2 −49y2 −100 = 0. Write down a parametrisation of…

A: The given equation of the hyperbola is: 36x2-49y2-100=0 Rewrite the equation:…

Q: Find the equation of the line that is tangent to the hyperbola at the given point. Write your answer…

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Q: 1. A parabola has equation -12x + y? – 24 = 0. Write the equation in standard form.

A: The equation of the parabola is, - 12x + y² - 24 = 0 So, y² = 12x + 24

Q: Find the Parabola with Focus (7,-2) and Directrix x=-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: (y-p)2²=4a(x-q)

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Q: Find the axis of symmetry of the parabola x2-16 y-6 x+73 0 Select one: Oy= -8 O x= 3 Oy= 3 Ox= -3

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Q: The parabola described in the equation y = 2(x - 4)2 + 3 has the directrix at y = -1. The focus of…

A: As per the guidelines we are supposed to solve one question at a time. Please repost other questions…

Q: Find the equation Gr the parabola with center Cor vertex) at Ca,-4) and facus at (2,0).

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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: Ex. For the hyperbola *-= find the coordinates for the foci and vertices.

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Q: Find the directrix of the parabola described by the equation 6 (x – 3) + (y + 2)? = 0 O x = } O x =…

A: The  parabola with vertex at (h,k) and focus at (h-a,k) has a standard equation, (y-k)2=-4a(x-h) The…

Q: Make canonical equations for a hyperbola with an imaginary axis equal to 2 and focus F (-√13; 0)

A: One focus of the hyperbola is given.From the focus, the hyperbola is right -left facing…

Q: Q,9. What point on the parabola y = v2x + 5 comes closest to the ori

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