Final answer:
The map from (x, y) to (2x + 1, 2y) is not a single transformation but a combination of dilation and translation. Linear equations are in the form of y = mx + b, and options A, B, and C are all linear equations.
Step-by-step explanation:
The transformation that maps a point (x, y) onto the point (2x + 1, 2y) includes two different types of transformations. First, there is a dilation, because the x-coordinate and the y-coordinate are multiplied by 2, scaling the distances from the origin by a factor of 2. Second, there is a translation, because 1 is added to the x-coordinate, shifting the point horizontally. Therefore, the correct answer is not a single transformation but a combination of dilation and translation.
On the topic of linear equations, an equation is linear if it can be written in the form of y = mx + b where m and b are constants and the powers of x and y are 1. So, for practice test 4, 12.1, the linear equations are:
- A. y = -3x
- B. y = 0.2 +0.74x
- C. y=-9.4 - 2x
Thus, choices A, B, and C are linear equations, making option D (A and B) incorrect as choice C is also a linear equation.