Question 3. Let C, and C8 be the coordinate maps from P2 to Rº, where a = (1, x, x²) and ß = (1,1+x, ²). a) Ca(1+ x) = C8(1+x)

Q: %3D 1. Write the image points for T-5,3>(ADEF) =ADIE¡FI. D'( E'C

A: In the given figure, D(2,1), E(5,1), F(4,-2). T-5,3(∆DEF)=∆D'E'F' The translation T-5,3 moves all…

Q: 4 TA 2 -6 -4 -2 2/ 4 6. -2 -4

A: We can find the coordinate of the image of B as below.

Q: Find the distance between the line L, that goes through the points A(1, 0, -1) and B(2,0, -1) and…

A: The line L1 passes through A(1,0,-1), and B(2,0,-1). the line L2 passes through C(3,1,-1), and…

Q: Let u = , v = , and w = . find uw

A:

Q: Do the points (0.5, 1), (1, 1.2), (2, 2) lie on a line?

A: Three points will lie on same line if slope of any two point is same as other two points, taken two…

Q: Given the rule (x,y) --> (x-4, y+8), describe what transformation occurs to any given point

A:

Q: Construct a linear map L(z)=az+b that will send the imaginary y-axis to the line v=-u.

A: we have to constract a linear map that maps the y-axis to the line v=-u Basically we have to…

Q: Determine a mapping of the form (x, y) (_) from y = f(x) for each of the following. y = 3f(2x)…

A:

Q: What is the x-coordinate of every point that lies on avertical line through C?

A: The image shows the horizontal and the vertical lines.

Q: Simplify the following expressions using k-map for the 4 variables A, B, C and D. (i) (1) Y=m, +m, +…

A:

Q: Can you please answer 6 (a&b) and show how you did your work if you cannot the x and y-axis clear…

A:

Q: 11. The point (9, 16- A. (3,4)

A: y=f(x)after transformation y=f(x)(x,y)→(x , y)(9,16)→(9 , 16)=(9,4)

Q: If the composition p ∘ u = (2-y, 2-x), show that the fixed points are the points on the line y =…

A: The objective of this question is to prove that the fixed points of the composition function p ∘ u =…

Q: 1.) Determine if each equation is a function. a.) x - y = 5 b.) y=x²-3x + 5 c.) x² + y² = 16

A:

Q: The point G (-6, 4) is translated 2 units left. G'? What are the coordinates of the resulting point…

A: Given point G is (-6, 4)

Q: The points (0, 2.6) and (2.9, 7.53) satisfy a linear relationship between two variables, z and y. a.…

A: Given that the points 0,2.6 and 2.9, 7.53 satisfy a linear relationship between two variables x and…

Q: 5. State the domain and range of each function. a) y = 2x- 1 b) y = -3(x – 4)² + 1 c) y d) y = V-3(x…

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Q: 7. Find the distance from the point A to the line through the points B and C where A, B, and C have…

A:

Q: Determine the new order pairs if the points are reflected across the y- axis. J(2, 2), K(7, 4), L(9,…

A: Given- J2,2,K7,4,L9,-2 and M3,-1 To determine-  The new order pairs if the points are the reflected…

Q: Describe (in the form y = (x)) the images of the lines u = 6 and v = 6 under the mapping G(u, v) =…

A: Solution

Q: 8. Line segment PQ has endpoints P(3, – 2) and Q(2, 4). The translation (x, y) → (x – 3, y + 5) maps…

A: Guven, line segment pQhas endpoint p(3,-2) and Q(2,4)

Q: What can assume any value between two given points?

A: Continuous random variable: It is a quantitative variable. It consists of an infinite number of…

Q: Given (4,1) and (5,-7) are two points of f and (4,-3) and (5, 10) are two points on g, determine the…

A: The given informations are    (4,1) , (5,-7) are two points on f & (4,-3) , (5,10) are two…

Q: Find the Cartesian equation of the image of the line y = 2 under the mapping z → z 2 Sketch the…

A: