A figure is rotated, 90° counterclockwise about the origin. Which of the following functions napping was applied? Enter the number of the correct
function.
The correct function for rotating a figure counterclockwise about the origin is:
f(x, y) = (-y, x)
Therefore, the correct answer is 2.
To rotate a figure 90° counterclockwise about the origin, the following function mapping is applied:
(x, y) → (-y, x)
So the correct answer would be the number 3.
In order to rotate a figure 90° counterclockwise about the origin, we need to switch its x and y coordinates and negate the new x coordinates. This can be achieved by using the transformation function (-y, x).
To find the correct function, you can look at the options given and apply each one to a point on the figure. If the resulting coordinates match the rotated figure, then that is the correct function. Here is how you can do that:
1. Take a point on the original figure (let's say (x, y)) and apply the transformation given in each option.
2. For each option, calculate the new coordinates for the point.
3. Compare the new coordinates to the rotated figure. If they match, that option is the correct function.
For example, let's take the point (2, 3) and apply each of the given options:
Option 1: (x, -y) => (2, -3)
Option 2: (-y, x) => (-3, 2)
Option 3: (-x, -y) => (-2, -3)
Option 4: (y, -x) => (3, -2)
By comparing the new coordinates (-3, 2) to the rotated figure, we can determine that option 2 is the correct function.