Which figure is the image produced by applying the composition t 0,3 r 0,90 to figure r?

a.

figure h

b.

figure i

c.

figure j

d.

figure r

Option A is correct

The only figure after composition of to figure R is Figure H

Step-by-step explanation:

From the given figure in R;

The coordinates in Figure R ;

(1 , -1) , (2, -2) ,(4, -2) ( 0, -4)

Composite function defined as when one function is substituted into another function.

To Apply the composition to figure R;

First apply the Reflection in Figure R;

The rule of reflection is given by:

By applying the rule of reflection in Figure R ,

then, the coordinates becomes;

(1 , -1) (1, 1)

(2 , -2) (2, 2)

(4 , -2) (2, 4)

(0, -4) (4, 0)

Now, apply the translation

Translation : It is a type of transformation that moves each point in a figure the same distance in the same direction.

then,

the rule of translation is:

Apply the rule of translation on coordinates (1,1) , (2,2),  (2,4) and (4,0)

then

(1 , 1) (1+0 1+3) =(1,4)

(2, 2) (2+0 2+3) =(2, 5)

(2, 4) (2+0 4+3) =(2 ,7) and

(4, 0) (4+0 0+3) =(4 ,3)

Then, the only figure after composition of to figure R is Figure H

thats not a system of equations, that is a solution