Asequence of transformations maps triangle abc to triangle a’b’c’. the sequence of transformations that maps triangle abc to triangle a’b’c’ is a reflection across the

- y-axis
- x-axis
- line y=x
or - line y=-x

by a translation

- 4 units to the right and 10 units up
- 8 units to the right and 10 units up
- 10 units to the right and 2 units up
or - 10 units to the right and 4 units up.

Reflection across the line y=x followed by translation 10 units to the right and 4 units up.

Step-by-step explanation:

Triangle ABC has vertices at points A(-6,2), B(-2,6) and C(-4,2).

1. The reflection across the line y=x has the rule

(x,y)→(y,x).

Thus,

2. The translation 10 units to the right and 4 units up has the rule

(x,y)→(x+10,y+4).

Thus,

Points A'B'C' are exactly the vertices of the triangle A'B'C'.

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,