find the coordinates of the image of the point (5, -1) dilated with center at the origin, scale factor 3
just multiply x and y by 3.
To find the coordinates of the image of a point (x, y) dilated with a center at the origin and a scale factor of k, we can use the formula:
(x', y') = (k * x, k * y)
In this case, the point is (5, -1), and the scale factor is 3. Using the formula above, we can calculate the coordinates of the image as follows:
x' = 3 * 5 = 15
y' = 3 * (-1) = -3
Therefore, the coordinates of the image of the point (5, -1) under the dilation with a center at the origin and a scale factor of 3 are (15, -3).
To find the coordinates of the image of a point under dilation, we need to multiply the coordinates of the original point by the scale factor.
In this case, the original point is (5, -1) and the scale factor is 3.
To find the x-coordinate of the image, we multiply the x-coordinate of the original point (5) by the scale factor (3):
x-coordinate of the image = 5 * 3 = 15
To find the y-coordinate of the image, we multiply the y-coordinate of the original point (-1) by the scale factor (3):
y-coordinate of the image = -1 * 3 = -3
Therefore, the coordinates of the image of the point (5, -1) under dilation with a center at the origin and a scale factor of 3 are (15, -3).