onsider the triangle below undergoing a series of transformations. Showing all your workings, calculate and plot the new vertices after the following operations: i) Scaling by (0.5, 1.5) ii) Translation of (-3, 3) iii) Reflection along the x-axis iv) Rotation of 45ᵒ anticlockwise about the origin Plot the transformed images on a Cartesian plan

Q: What are the coordinates of the image of trapezoid ABCD after a 90° rotation about the origin?

A: The image of the trapezoid ABCD after 90˚ rotation about the origin :

Q: Identify the center of the circle with the following equatic A) (-3, 5) C) (5, 3) (x – 5)² + (y +…

A: The equation of circle is given as x-52+y+32=36......(1)

Q: (3, 7/7). 2 Plot the point whose polar coordinates are (3,

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Q: How do you find the focus and the directrix of a Prabola?

A: We find directrix equation and focus of given parabola.

Q: 3. x²-6x-y+3=0 Standard Form Equation: a. Vertex: b. Focus: c. Length of LR: d. Directrix: PCLNIIS…

A: We have to write the given equation in the standard form. It is clear that the given equations are…

Q: Q3/ For the given vertices A, B, C and D of the parallelogram, Find the angle at B and the polar…

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Q: Given points A(-4, -3) and B(-4, 0), graph line AB and its image line A"B" after a reflection across…

A: Given points A-4,-3 and B-4,0 To graph line AB and its image line A''B'' after a reflection across…

Q: Describe the graph of the equation: r = 7ti - 8j + (1 + 9t)k. [Choose the correct answer.] O The…

A: Given : equation     r→=7ti→-8j→+1+9tk→ We have to describe the graph of the equation. Pre-requisite…

Q: It is true that the vertex is halfway between tje focus and the directrix on the principal axis

A: Yes, the vertex is halfway between focus and the directrix on the principle axis

Q: C 5 D B

A: We are asked rotate the trapezoid coordinate 180o  counter clock wise about the origin.

Q: 2. Convert (-V3,) to rectangular form.

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Q: Sketch the reflected image of the objects below across the indicated plane. The sketch of the…

A: We have to sketch the reflected image of the given objects across the indicated plane.

Q: Convert from rectangular to polar coordinates: (a) (1, 0) (b) (3,√3) (c) (−2, 2) (d) (−1,√3)

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Q: Sketch and identify the graph of the equation x² + y² – 2y – 3 = 0 in 3D.

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Q: Are the coordinates I wrote down correct? How do I get the other coordinates especially the rotation…

A: 5. We start at Madison, at F18.Translate 5 units left and 3 units down = I1318-5=13F down by 6 is…

Q: 1. In complete sentences, define transformation and explain how a translation, rotation, and…

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Q: 2. Describe in word all transformations involved. y = -3sin(180° – 4x) + 5

A: Take Sine function then apply one by one all transformation to get the final function.

Q: (x + 3)² 64 - - (y – 5)² = 1 - Distance from the center to each focus is:

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Q: Part II: Point Conversions 1. Convert (2,7) into a rectangular coordinate. 2. Convert (4,-4) into a…

A: I am attaching image so that you understand each and every step.

Q: Find the inverse of the circle x2 +y? = a?, the centre of inversion being the origin.

A: given circle is                                                 we know that inverse of a function…

Q: 2. Describe in word all transformations involved. y = -3sin(180° – 4x) + 5

A: