What are the points (-0.5,2), (-0.5,-1), (1.5,2) after a dilation with the scale factor of 4?
After a dilation with a scale factor of 4, the new points can be found by multiplying the coordinates of each point by 4.
- Point (-0.5, 2) -->
x-coordinate: -0.5 * 4 = -2
y-coordinate: 2 * 4 = 8
So the new coordinates for this point are (-2, 8).
- Point (-0.5, -1) -->
x-coordinate: -0.5 * 4 = -2
y-coordinate: -1 * 4 = -4
So the new coordinates for this point are (-2, -4).
- Point (1.5, 2) -->
x-coordinate: 1.5 * 4 = 6
y-coordinate: 2 * 4 = 8
So the new coordinates for this point are (6, 8).
To find the new coordinates after a dilation with a scale factor of 4, we need to multiply the original coordinates by the scale factor.
Let's start with the first point (-0.5, 2):
New x-coordinate = Scale factor * Original x-coordinate
= 4 * (-0.5)
= -2
New y-coordinate = Scale factor * Original y-coordinate
= 4 * 2
= 8
So, after the dilation with a scale factor of 4, the first point (-0.5, 2) becomes (-2, 8).
Now, let's continue with the second point (-0.5, -1):
New x-coordinate = Scale factor * Original x-coordinate
= 4 * (-0.5)
= -2
New y-coordinate = Scale factor * Original y-coordinate
= 4 * (-1)
= -4
Therefore, after the dilation with a scale factor of 4, the second point (-0.5, -1) becomes (-2, -4).
Finally, let's calculate the third point (1.5, 2):
New x-coordinate = Scale factor * Original x-coordinate
= 4 * 1.5
= 6
New y-coordinate = Scale factor * Original y-coordinate
= 4 * 2
= 8
Hence, after the dilation with a scale factor of 4, the third point (1.5, 2) becomes (6, 8).
To find the result of a dilation with a scale factor of 4, we need to multiply the coordinates of each point by 4.
Given the original points A(-0.5, 2), B(-0.5, -1), and C(1.5, 2), we will apply the dilation to find the new coordinates of these points.
For point A(-0.5, 2):
- Multiply the x-coordinate (-0.5) by the scale factor (4), which gives -0.5 * 4 = -2.
- Multiply the y-coordinate (2) by the scale factor (4), which gives 2 * 4 = 8.
So the new coordinates of point A after the dilation are (-2, 8).
For point B(-0.5, -1):
- Multiply the x-coordinate (-0.5) by the scale factor (4), which gives -0.5 * 4 = -2.
- Multiply the y-coordinate (-1) by the scale factor (4), which gives -1 * 4 = -4.
So the new coordinates of point B after the dilation are (-2, -4).
For point C(1.5, 2):
- Multiply the x-coordinate (1.5) by the scale factor (4), which gives 1.5 * 4 = 6.
- Multiply the y-coordinate (2) by the scale factor (4), which gives 2 * 4 = 8.
So the new coordinates of point C after the dilation are (6, 8).
Therefore, the points (-0.5, 2), (-0.5, -1), and (1.5, 2) after a dilation with a scale factor of 4 are (-2, 8), (-2, -4), and (6, 8), respectively.