1. Consider the parabola with focus point (1, 1) and directrix the horizontal line y = -3. a) What are the coordinates of the vertex of the parabola?

Q: 7. Fill in the blanks: a) The axis of symmetry of the parabola y = -2(x- 3)?– 1 is_ b) When the…

A: Given query is to find indicated points for parabola.

Q: Find the equation in standard form of the parabola with focus (2, -3) and directrix x = 5.

A: The parabola with focus 2, -3 and directrix x=5. To find the equation of the parabola.

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: 6) Center: (3, 14) Radius: V14 A) (x- 3) +(y- 14) = 9 B) (x+3) +(y+ 14) = 14 c) (x-3) +(y- 14) 196…

A: Explanation and solutions is given below....

Q: ái) Taka u flection in x- axis shift I unit opew and : y= -2 (x+3)*+1. S -1 -3 -2 -1 Vortical y…

A: topic - domain and range of parabola

Q: Q1 a) Find the distance between the points A(-5, -6, 2) and the plane that includes the y-axis and…

A: Sol

Q: b) Sketch the parabola with the graph cuts the x-axis at (5,0) and (-5,0), the directrix line y = 4…

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Q: The length of the major axis of an ellipse with foci at (-1, 2) and (3, 2) that passes through the…

A: Here we use basic defnition of major axis

Q: (y-p)2²=4a(x-q)

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Q: 2 y² - x² = 9 a) Sketch the graph of the equations in three dimensions and identify the surfaces.

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Q: Convert the following. form to general form of parabola a₁)(x-3) ²= 12 (1-4) 6.)(x-1)² = 8(4-3)…

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Q: Write the equation of the parabola with vertex at (-9, 0) and directrix at x = -10 a) + 9 1,2 49 b)…

A: Given

Q: Find the focus of middle point chords of the parabola y² = tax, of whic Subtend a of the parabola.…

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Q: Which quadric surfaces have both hyperbolas and parabolas as traces?

A: Consider the given: The intersection of a three-dimensional surface and a plane is called a trace.…

Q: The equation of the directrix of a parabola is y = 5 and its focus is at (4,-7). What is the length…

A: given:Equation of direction of a parabola  is y=5focus 4,-7To calculate: length of latus rectum

Q: Is it possible for two different parabolas to have the same focus and vertex? Explain with proof.

A: Actually, there cannot be two different parabolas with same focus and vertex..

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

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Q: A searchlight uses a parabolic mirror to cast a beam of light in parallel rays where the light bulb…

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Q: -=8 - 3 = - + 4)² Vertex: (3, -4) 4. p: opens: Ch-4) focus: directrix:

A: The Parabola is  locus of a point whose distance from a  fixed point is equal to its distance from a…

Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.

Q: If the directrix is horizontal, then the parabola opens (horizontally/vertically).

A: Given:We must find the missing word in the given sentence.So, Definition of parabola said:A parabola…

Q: help in 30mins pls

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