(4) Decide which of the following maps f R2 R2 are isometries. Justify your answers. : (v.) f(x,y) = (1-x, 3+ y).

(4) Decide which of the following maps ƒ R2 R² answers. (i.) f(x,y)=(y, x); -> are isometries. Justify your

Let G(u, v) = (5u + v, 30u + 13v) be a map from the uv-plane to the xy-plane. Find the image of the line through the points (u, v) = (1, 1) and (u, v) = (1,–1) under G in slope-intercept form. (Express numbers in exact form. Use symbolic notation and fractions where needed.) equation:

2. Let f a function such that f (-2) = 6, f (0) = – 3, ƒ (3) = 0. Give the coordinates of three points on the graph of y = f(x + 4).

Determine whether each of the following maps from R? to R³ is linear. Prove your answers. (a) F((x,y)) = (x², y², x + y) (b) G( (x, y)) = (x+ y, 2x, 3y) (c) H((x, y)) = (x+1,y +2,0)

The function f(x) has been transformed to y = -2f(-x+3)+1, which has resulted in the mapping of (4, -2) to Select one: O a. (-5,5) O b. (-1,5) O c. (-7,5) O d. (11, -3)

Sketch the graph of f(x,y) = 5x + 4y – 20. State the domain and range of the function. Which of the following surface graphs represents f(x,y) = 5x+ 4y - 20? OA. OB. OC. (0,0,20) (0,0,20) 5,0,0) (4,0,0) 0,-4,0) (0,-5,0) (0,5,0) (-4,0,0) K(0,0.-20) y y

Sketch the graph of f(x.y) = 4x +y + 1. State the domain and range of the function. Which of the following surface graphs represents f(x,y) = 4x + y? + 1? OA. Ов. OC.

Please help with this!

5. Given f(x) = -2/4x – 8 + 1 а. Determine the parent function b. Determine the mapping rule c. Map the points to their new coordinates (6) (x, y) d)Graph both the parent function and the new function after transformations on the Cartesian plane provided: 10 5 -5 10 15 20 25 30 -5 -10