please help me....

Question

Plot the pre-image, Quadrilateral STUV: S(-2,-2), T(-5,-6), U(-6,-6), V(-6,-5) 

b. Then, rotate the quadrilateral 90⁰ clockwise about the origin creating image S’T’U’V’ 

c. Then, translate S’T’U’V’ (x,y) →(x+8, y+1) creating image S”T”U”V”

Answer 1

STUV = (-2,-2),(-5,-6),(-6,-6),(-6,-5)

for 90 degree rotation, switch x and y,

then change the sign of the new y

S'T'U'V' = (-2,2),(-6,5),(-6,6),(-5,6)

for x+8 and y+1, add 8 to x, add 1 to y

S"T"U"V" = (-6,3),(2,6),(2,7),(3,7)

Answer 2

To plot the original quadrilateral, put the points to their corresponding location based on the coordinates (x,y) with x being the horizontal (left-right) axis and y being the vertical (up-down).

To find the points after a 90 degree clockwise rotation, swap the x and y coordinates and swap the sign (+ or -) of the old x/new y. For example S is (-2, -2) so S' is (-2, 2) and T = (-5, -6) becomes T' = (-6, 5). Do the same with the remaining points.

From there, add 8 to each x coordinate and 1 to each y to find the translated quadrilateral. So T'' = (-6+8, 5+1) = (2, 6). Do the same with the remaining points.