Use the 3-D axes as per the right hand rule 1) Given the point P (4, -5, 7) in the space a) Graph the point. b)Find the projection of the point in all 3 coordinate planes.

Q: 7) What is the equation of the parabola below? (-1,3) (4,0) -5 A) y= -(x+ 1)2 + 3 B) y 1)2 - 3 C)…

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Q: b)(y-4)^2=-12(y-2)

A: b) Given equation of parabola is: (y-4)2=-12(x-2) 4a = 12 a = 3 Therefore we get, The vertex of the…

Q: Part C: Graphing 1. List the key properties of each graph. Use these to create a sketch. Indicate at…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: ii. -(1) followed by a reflection in the y-axis. Determine the image under Z of triangle UVW with…

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Q: 5) Find the vertex and axis of symmetry of the parabola with focus F(7/2,3) and directrix line…

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Q: What is the focus (are the foci) of the shape defined by the equation + 3 = 1? 25 9 (0, 2) and (0,…

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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: How are the conics described in terms of a fixed point and a fixed line?

A: We need to describe the definition of conics in terms of a fixed point and fixed line.

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

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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 VERTEX USING X=-B/2A, THEN USE TABLE OF VALUES AND FIND 4 OTHER POINTS FOR A PARABOLA…

A: (a) y=x2+2x-4 We know that the vertex of the parabola y=ax2+bx+c is -b2a,y Therefore comparing the…

Q: Find the ellipse equation with foci (0, 2) and (0, 6) and major axis vertices (0, 0) and (0, 8).

A: We can find the ellipse equation as below.

Q: If the intersection points of the hyperbola 3x² – y² = 11 and the line 2x + y = 10 are P and Q,…

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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: 3. Equation: Center: Vertices: Co-Vertices: Foci:

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Q: 1. Find the equation of a) a circle with center (2,-3) and passes through the point (5,-1). b) the…

A: a) Here given that center of circle is (2,-3). Since circle passes through the point (5,-1). So,…

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: Given: (x - 2) - (y - 1)= 1, identify the center, vertices, and foci. 4 5

A: Given, The equation of hyperbola in standard form,x - 224 - y - 125 = 1 ....................(1)We…

Q: Match each equation with its graph. (x – 6)2 + (y– 1)² = 3 (x + 6)2 + (y – 1)² = 3 (x+6)² + (y+ 1)²…

A: The graph is shown below:

Q: 2. Equation: Center: Vertices: Co-Vertices: Foci:

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Q: 15) Vertices: (-9, 13), (-9, -13) Foci: (-9, 12), (-9, -12)

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