Given ΔUTS with coordinates U(-4,-3), T(-2,1), S(0,-2), rotate the figure 90° Counterclockwise about the origin Question 8 options:

U'(-2,1) T'(-4,-2) S'(0,0)

U'(4,3) T'(2,-1) S'(0,2)

U'(3,-4) T'(-1,-2) S'(2,0)

U'(-2,-2) T'(0,2) S'(2,-1)

U'(3,-4) T'(-1,-2) S'(2,0)

Step-by-step explanation:

Firstly, we need the general rotation method

We have this as;

(x,y) to (-y,x)

So;

U (-4,-3) becomes U’ (3,-4)

T(-2,1) becomes T’(-1,-2)

S(0,-2) becomes S’ (2,0)

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)

the answer is "add 2y and y"

step-by-step explanation:

you need to collect the like terms first.