Question

6. A figure has an area of 9 square units. The equation y = √√represents the

scale factor of y by which the solid must be dilated to obtain an image with
area of x square units. Select all points which are on the graph representing
this equation. (Lesson 5-5)
(A.) (0, 0)
(B.) (1, 1)
(1,3)
D.) (3, 1)
E. (9,1)
(F.) (9, 3)
G.) (18,2)
(H.) (36, 2)

Answer 1

The graph represents the function that maps the area of the original figure to the area of the dilated figure. If the original area is 9 square units and the dilated area is x square units, then the equation y = √√x represents the relationship between the two areas. Points (B), (F), (G), and (H) are on the graph because they satisfy the equation y = √√x. Points (A), (C), and (E) are not on the graph because they do not satisfy the equation.