(03.01 MC) A
B
Dilate line f by a scale factor of 2 with the center of dilation at the origin to create line f'. Where are points A' and B' located
after dilation, and how are lines f and f' related?
The locations of A' and B' are A' (0,4) and B' (4,0); lines f and f' are parallel.
The locations of A' and B' are A' (0, 2) and B' (2, 0); lines f and f' are the same line.
The locations of A' and B' are A' (0, 2) and B' (4,0); lines f and f' intersect at point A.
The locations of A' and B' are A' (0,4) and B' (2, 0); lines f and f' intersect at point B.

Option (1) will be the answer.

Step-by-step explanation:

Coordinates of the points A and B lying on the line f are (0, 2) and (2, 0) respectively.

Slope of the line f,

After dilation of line f by a scale factor of 2, coordinates of A' and B' will be,

Rule for dilation,

(x, y) → (kx, ky)

Where k = scale factor

A(0, 2) → A'(0, 4)

B(2, 0) → B'(4, 0)

Slope of line f',

Since,

Therefore, both the lines f and f' will be parallel.

Option (1) will be the answer.

right

step-by-step explanation:

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.