4 Which transformation of OA would result in an image parallel to OA? (1) a translation of two units down (2) a reflection over the r-axis (3) a reflection over the y-axis (4) a clockwise rotation of 90° about the origin

Q: 14 Sketch a graph of r Use the graph to write a Cartesian equation for the conic. %3D 3 – 4 cos(8)

A:

Q: A quarter-turn is a 90-degree rotation. If the counterclockwise quarter-turn centered at (3,2) is…

A: Given that

Q: Describe the figure that generated by the rotation in three-dimensional space. A rectangle rotated…

A:

Q: 16. What is the image of (2, -2) rotated 270° counterclockwise about the origin? А (-2, -2) в (-2,…

A: Solution

Q: 9.3.35 Point O is the center of the regular nonagon shown at the right. A B. Find the angle of…

A: To determine the angle of rotation about O.

Q: 96 The following figure has the angle of rotation of the figure from point O so that the side…

A:

Q: 15. Point B is the image of A under a rotation in the figure to the right. a point that could be the…

A: Rotation of point is movement of a specified point to a new point, about a center of rotation, at a…

Q: 2. 6 27 4 6 2 Find three additional polar representations of the point, using -2n < 0 < 2n. (Enter…

A:

Q: Find polar forms for zw, z/w, and 1/z by first putting z and w into polar form. * = 2/3 – 2i, w…

A:

Q: Excercise 76 Let 0 < ) < 1 be a given real number. Using Cartesian coordinate system prove that the…

A: we have given 0&lt;λ&lt;1a transformation is given P(x,y)↦P'(x,λy)P(x,y):=x2+y2=a2 is any circle…

Q: 7) a) Convert 3+ j to polar form. b) Use the result from part (a) to evaluate (v3+j)ª. You can leave…

A:

Q: B' Notice A'B'C'D' Is the mirror Image of АВCD. Pre-Image Image DD A' 1. In the reflection above,…

A: Given,

Q: Proof Prove that rotation of 0, where a cot 20 = (a – c)/b, will eliminate the xy-term from the…

A: To determine the angle, suppose the general second-degree equation ax2 + bxy + cy2 + dx + ey + f = 0…

Q: 15. What is the resulting image of G' after a reflection across the x-axis followed by a translation…

A: We need to draw image after reflection.

Q: 8. A pre-image has coordinates J(3, -6) and K(-1,-2). The image has coordi- V -1). Describe the…

A: Clockwise rotational path of line segment are:-

Q: 2. a) Write a rotation R by an angle (counterclockwise) with the centre at the point (34, 1) in…

A:

Q: 3. Locate the CENTER of the rotation that was used to rotate AABC onto AA'B'C'. SHOW WORK on the…

A: This can be done by geometric construction and analytical method.

Q: A= 2 0 ilton theorem to show that 217 0 A6 = 1. 1 n terms of a rotation of co-ordinate axes. Show…

A:

Q: 32 Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 5 – 3 sin(0)

A: We have to sketch the graph of r=325-3sinθ. Use the graph to write a Cartesian equation for the…

Q: 5T Given the point in polar coordinates 5, find two other polar coordinate representations. Part: 0…

A:

Q: Choose True if the statement is correct, otherwise False. The point (-13,–1107/4) is located between…

A: To convert the polar coordinates to the rectangular coordinates the formula used are x=rcos(θ),…

Q: 4. Rotation 270° about the origin A

A: Given: A(2,4) B(4,1) C(-2,2)

Q: Consider the rotation of the different figures given below. Fill up the missing values corresponding…

A: Explanation: Given that, Figure 1 and Figure 2 Calculation: For figure 1  By rotating this figure we…

Q: Rotation 180° counterclockwise around the origin Reflection across the x-axis 14 12 10 8. 4- 2 -14…

A:

Q: (b) (c) Add two more squares Add three more squares Add three more so that the final shape has…

A:

Q: 2n Given the point in polar coordinates ( 4, ,find two other polar coordinate representations. 3…

A: Given point in polar co-ordinates, r,θ=4, 2π3

Q: a1/Giaph the Polar function? +4YCOS8-815ine=-4

A:

Q: 12. Triangle LMN with vertices L(-9, -1), M(-3,-4), and N(-5, -8): a) 270° counterclockwise rotation…

A: Given: Triangle LMN with vertices L-9, -1, M(-3, -4) and N(-5, -8). a) 270° counterclockwise…

Q: 14 Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 4+ 3 cos(0) '…

A: We sketch the graph using a graphing calculator

Q: What are the order of rotational symmetry and the angle of rotation of the 2-D shape?

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Q: 2. Give 3 other representation of the polar coordinate (changing the sign of r at least once). (2)

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Q: ) In the figure below, pre-image trapezoid Z is rotated about point X to image trapezoid Z’.…

A: Given: in the given figure ,pre-image trapezoid z is rotated about point X to image trapezoid…

Q: z = 1- 3i Let a. Find the polar representation b. Calculate z3

A: See the attachment.

Q: Find three additional polar representations of the point, using −2π < θ < 2π.(Enter your answers in…

A: Plot the polar coordinate 0,7π6 as shown below.

Q: Triangle A is mapped onto triangle -8 -6 -5 -३ -2 1. -2 Which of the following transformations is…

A: We want to find applied translation on triangle.

Q: Rotation 90° counterclockwise around the origin Reflection across the y-axis 12 2 -14 -12 -1o -8 -6…

A: To rotate the given triangle 90 degrees anticlockwise , we have to transform it towards left . We…

Q: (a) Find all intersections of the polar curves r = 1 + cos 0 and r = Cos e (b) Determine the…

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Q: 6 Find three additional polar representations of the point, using -2n < 0 < 2n. (Enter your answers…

A:

Q: Find polar forms for zw, z/w, and 1/z by first putting z and w into polar form. z = 4√3 -4i,  w = 8i

A: We have to find the polar form for zw, zw and 1z where z=43-4i and w=8i. First, we have to convert z…

Q: 20 Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 3 – 2 cos(0)

A: Given: r=203-2cos(θ) following image represents the graph for the given equation.

Q: In the Argand alongside, =|=3 and w| =2 a) Write z and w in polar form b) Describe the…

A: a) Given z=3 That is, r=3 Here, argument of z is given by: θ=π-π5+π2  =3π10 Polar form is given by:…

Q: A reflection over the x- axis A clockwise rotation of 90° about the origin A clockwise rotation of…

A: when an image is reflected along the x-axis the coordinates changes from (x, y) to (x, -y).

Q: 28 Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 4+ 3 sin(0)

A:

Q: A shape has rotational symmetry when it looks the same after a rotation of less than 360 degrees.…

A: Rotational symmetry:        If it can be rotate by an angle between 0° and 360°

Q: (a). Express z=3 + V3i in polar form. (b). Find the value of z if e- =1.

A: z=3+3i Comparing with z=x+iy, we get x=3,  y=3. Now, r=x2+y2=32+32=3+3=6 &amp;…

Q: Let f1 be reflection with respect to the y-axis and let f2 be counterclockwise rotation through π/2…

A: Given:  f1 be reflection with respect to the y-axis and let f2 be counterclockwise rotation through…

Q: .and Zand 7andom2 -6 6. A pre-image has coordinates A(3, -5), B(3, 1) and C(-2, 0). Themage has coon…

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Q: 20 V2+i Find the polar representation of z = . Show your steps clearly

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Q: 12 Sketch a graph of r = Use the graph to write a Cartesian equation for the conic. 2 + 4 cos(0)

A: Given that, the polar equation is r=122+4cosθ. Sketch the graph of r=122+4cosθ as shown below, From…

Q: 14. M(-5, -4) is the image of M after a 90* Counterclockwise rotation about the origin. What are the…

A: