To find the image of the point (-4,8) after dilation by a scale factor of 2 centered at the origin, we multiply both the x and y-coordinates by 2, resulting in the new coordinates (-8, 16).
Sure, to find the image of the point (-4, 8) after a dilation by a scale factor of 2 centered at the origin, follow these steps:
Write down the dilation formula: For a dilation centered at the origin with a scale factor of 'k', the coordinates (x, y) are transformed to (k * x, k * y).
Apply the formula to the given point (-4, 8):
The x-coordinate becomes: 2 * (-4) = -8
The y-coordinate becomes: 2 * 8 = 16
Identify the new coordinates: The image of (-4, 8) after the dilation by a scale factor of 2 centered at the origin is (-8, 16).
Therefore, the point (-4, 8) when dilated by a scale factor of 2 centered at the origin results in the point (-8, 16). This transformation involves multiplying each coordinate of the original point by the scale factor (2) to get the coordinates of the image point.